No, it's false.
In New York, Muslim women can request private screening with a female officer (most security check points have a private room which they use for more advanced screenings). Huffington post reports:
In terms of law enforcement, this means making sure that female
officers are alone with Muslim women before asking them to take off
the hijab. In terms of airport security, this means bringing a Sikh or
Muslim to a separate area before asking them to remove pieces of
clothing that may be against policy. Over the last few years in
Houston we were able to change policies and implement procedures in
place that allowed for understanding and respect while still making
the area safe for everyone.
Reference: huffingtonpost.com
In Florida, TSA offers private screening for Muslim women. TSA officials of Florida said in a statement:
“All TSA officers and contracted screeners are trained to treat every passenger with dignity and respect... When additional screening is needed that requires the removal of religious apparel, our officers offer private screening and only then will they request a passenger remove the item.”
Reference: Buzzfeed News
Laws and regulations in other states are most likely similar. Opinions of hijabi American Muslims indicate this. Cassandra Strand, a Muslim convert who lives in Minnesota wrote in a Quora post:
If a woman wears niqab or burqa and is asked to remove it she simply
requests a private area (most security check points have a private
room which they use for more advanced screenings and such but it could
even be a corner where nobody else can see her except the
officer/agent.
She will most likely request a female officer/agent and then it only
takes a second to lift up her veil and confirm identity. Some women
may be comfortable enough with lifting their veil right there in the
security checkpoint line for a few seconds to confirm identity. The
same room you go to if you refuse to use the body scanner and request
a different method of security scanning is the same room they would
take you to for private removal of a niqab.