TL;DR: No, there is at least another pohoto, AS11-40-5894, but we figured that out only in 1994, and the other photo is of poorer quality.

From NASA (emphasis mine):

AS11-40-5886 (OF300) ( 1016k or 155k )

110:31:47 Rightward of 5885. This frame from Buzz's plus-Z pan is the only good Hasselblad picture of Neil on the lunar surface. Eric Nelson has produced an enhance version ( 320k ) of the portion of the image that includes the flag, the SWC, and Neil at the MESA. A closer detail ( 195k ) shows Neil packing the bulk sample with an open rockbox on the MESA table. See the discussion following 110:31:47.

Clicking on provides:

For many years after the mission, NASA contended that Buzz never had the camera and, consequently, never took a picture of Neil. In fact, frame 5886 from Buzz's plus-Z pan shows Neil at the MESA. An extensive discussion with Neil and Buzz about this photo and about NASA's mis-conceptions about who had the camera at this time is linked below.

A thorough discussion of AS11-40-5886 is linked here

Where we find:

In late 1986 I was informed by Neil Armstrong's office that he believed the photo of himself in the background lay between frames 5875-5901. In May 1987 after studying a copy of the 'Apollo 11 70mm Photographic catalog' sent to him by Lee Saegesser (NASA HQ History Office) Armstrong confirmed to me that 5886 was the one.

As Weather Vane pointed out in the comments, on photo AS11-40-5894 we find:

AS11-40-5894 (OF300) ( 1827k or 232k )

110:34:13 This underexposed picture of the Ascent Stage shows Neil at the MESA (lower left corner). The fact that Neil is in this picture was first noticed by Apollo historian Andrew Chaikin. See, also, a detail of Neil. An enhanced version of the detail by Ulli Lotzmann shows that Neil has his side visor pulled forward and that his gold visor is up.

And at the marked time:

In 1994, Andrew Chaikin pointed out to me that Neil can be seen at the MESA in the deep shadow at the lower left in 5894. A detail shows Neil at the MESA. An enhanced version by Ulli Lotzmann shows that Neil has his side visor down and his gold visor up

TL;DR: No, there is at least another pohoto, AS11-40-5894, but we figured that out only in 1994, and the other photo is of poorer quality.

From NASA (emphasis mine):

AS11-40-5886 (OF300) ( 1016k or 155k )

110:31:47 Rightward of 5885. This frame from Buzz's plus-Z pan is the only good Hasselblad picture of Neil on the lunar surface. Eric Nelson has produced an enhance version ( 320k ) of the portion of the image that includes the flag, the SWC, and Neil at the MESA. A closer detail ( 195k ) shows Neil packing the bulk sample with an open rockbox on the MESA table. See the discussion following 110:31:47.

Clicking on provides:

For many years after the mission, NASA contended that Buzz never had the camera and, consequently, never took a picture of Neil. In fact, frame 5886 from Buzz's plus-Z pan shows Neil at the MESA. An extensive discussion with Neil and Buzz about this photo and about NASA's mis-conceptions about who had the camera at this time is linked below.

A thorough discussion of AS11-40-5886 is linked here

Where we find:

In late 1986 I was informed by Neil Armstrong's office that he believed the photo of himself in the background lay between frames 5875-5901. In May 1987 after studying a copy of the 'Apollo 11 70mm Photographic catalog' sent to him by Lee Saegesser (NASA HQ History Office) Armstrong confirmed to me that 5886 was the one.

As Weather Vane pointed out in the comments, on photo AS11-40-5894 we find:

AS11-40-5894 (OF300) ( 1827k or 232k )

110:34:13 This underexposed picture of the Ascent Stage shows Neil at the MESA (lower left corner). The fact that Neil is in this picture was first noticed by Apollo historian Andrew Chaikin. See, also, a detail of Neil. An enhanced version of the detail by Ulli Lotzmann shows that Neil has his side visor pulled forward and that his gold visor is up.

And at the marked time:

In 1994, Andrew Chaikin pointed out to me that Neil can be seen at the MESA in the deep shadow at the lower left in 5894. A detail shows Neil at the MESA. An enhanced version by Ulli Lotzmann shows that Neil has his side visor down and his gold visor up

From NASA:

AS11-40-5886 (OF300) ( 1016k or 155k )

110:31:47 Rightward of 5885. This frame from Buzz's plus-Z pan is the only good Hasselblad picture of Neil on the lunar surface. Eric Nelson has produced an enhance version ( 320k ) of the portion of the image that includes the flag, the SWC, and Neil at the MESA. A closer detail ( 195k ) shows Neil packing the bulk sample with an open rockbox on the MESA table. See the discussion following 110:31:47.

Clicking on provides:

For many years after the mission, NASA contended that Buzz never had the camera and, consequently, never took a picture of Neil. In fact, frame 5886 from Buzz's plus-Z pan shows Neil at the MESA. An extensive discussion with Neil and Buzz about this photo and about NASA's mis-conceptions about who had the camera at this time is linked below.

A thorough discussion of AS11-40-5886 is linked here

Where we find:

In late 1986 I was informed by Neil Armstrong's office that he believed the photo of himself in the background lay between frames 5875-5901. In May 1987 after studying a copy of the 'Apollo 11 70mm Photographic catalog' sent to him by Lee Saegesser (NASA HQ History Office) Armstrong confirmed to me that 5886 was the one.

TL;DR: No, there is at least another pohoto, AS11-40-5894, but we figured that out only in 1994, and the other photo is of poorer quality.

From NASA (emphasis mine):

AS11-40-5886 (OF300) ( 1016k or 155k )

110:31:47 Rightward of 5885. This frame from Buzz's plus-Z pan is the only good Hasselblad picture of Neil on the lunar surface. Eric Nelson has produced an enhance version ( 320k ) of the portion of the image that includes the flag, the SWC, and Neil at the MESA. A closer detail ( 195k ) shows Neil packing the bulk sample with an open rockbox on the MESA table. See the discussion following 110:31:47.

Clicking on provides:

For many years after the mission, NASA contended that Buzz never had the camera and, consequently, never took a picture of Neil. In fact, frame 5886 from Buzz's plus-Z pan shows Neil at the MESA. An extensive discussion with Neil and Buzz about this photo and about NASA's mis-conceptions about who had the camera at this time is linked below.

A thorough discussion of AS11-40-5886 is linked here

Where we find:

In late 1986 I was informed by Neil Armstrong's office that he believed the photo of himself in the background lay between frames 5875-5901. In May 1987 after studying a copy of the 'Apollo 11 70mm Photographic catalog' sent to him by Lee Saegesser (NASA HQ History Office) Armstrong confirmed to me that 5886 was the one.

As Weather Vane pointed out in the comments, on photo AS11-40-5894 we find:

AS11-40-5894 (OF300) ( 1827k or 232k )

110:34:13 This underexposed picture of the Ascent Stage shows Neil at the MESA (lower left corner). The fact that Neil is in this picture was first noticed by Apollo historian Andrew Chaikin. See, also, a detail of Neil. An enhanced version of the detail by Ulli Lotzmann shows that Neil has his side visor pulled forward and that his gold visor is up.

And at the marked time:

In 1994, Andrew Chaikin pointed out to me that Neil can be seen at the MESA in the deep shadow at the lower left in 5894. A detail shows Neil at the MESA. An enhanced version by Ulli Lotzmann shows that Neil has his side visor down and his gold visor up