Is this a genuine photo of the supermoon over Gdańsk?
No, the photographer claims it is a photo of an eclipse over Gdansk
It is almost certainly a composite image. The photographer's website has several photos of different places in Gdansk containing the same image of the moon.
The link in the question shows the image credited to fotojajt
The photographer at www.fotolajt.pl calls themselves Pawel and is based in Gdansk, Poland. The photo is in a blog entry dated 30 January 2016 where it states "eclipse on 28 September 2015." (presumably when the photos were actually taken)
Another photo in the same website uses the same moon image, strongly suggesting it is a composite. In the time taken to travel around Gdansk the real moon would almost certainly have changed lighting during an eclipse in the time a solo photographer would have taken to pack away camera gear relocate and set up again.
Another image showing the same building from further along the harbour includes a moon that appears to be somewhere around a tenth of the size. EXIF info says that this other image was captured by a Nikon D610 35mm full-frame DSLR using a 50mm focal-length lens.
The apparent size of the moon at syzergy-perihelion (supermoon) is only 14% larger than at aphelion, and the surrounding buildings at this location constrain the use of longer telephoto lenses to distort the scale from a viewpoint close to the water level.
here's a comparison with a more realistic photo at the same location. We can see the difference in size is more than 14%, even taking into account likely differences in focal length and viewpoint.
In the second photo the moon is just above and left of the streetlight
Orientation and Colour
Other photos of the supermoon published in polish websites (example) in 2016 seem to show a more normal colouration and a very different (but consistent) orientation. Suggesting that the moon in the image in the question is not taken in Poland in mid November 2016.
Sea of Tranquility near 12 o'clock position. Normal colour.
The image of the moon is strikingly similar to an Alamy stock Photo taken in Westphalia Germany on September 28 2015.
It is also similar to one taken of a blood moon (total eclipse) by Karen Bleier in Virginia in 2010.
Sea of Tranquility at 4 o'clock position. Red tint.
This supports the conclusion that the moon in the photo was photographed during an eclipse, not during the November 2016 "supermoon" period.
It seems likely that the image of the moon seen in the presumed composite was taken during an eclipse in 2015.
It seems unlikely to have had the same colouration if photographed when there was no eclipse to cause the tint.