It used to be until last year S.S. # was asked for but didn't have to be given in Pa.
Maybe S.S. cards issued today are different ,but mine that I got 40 years ago says "not to be ussed for identification". When I see people walk into D.O.T. to get drivers licenses with a U.S. Passport that can't speak English with two others that barely do to help that person out I get let's say a bit peeved.
With few exceptions (bank or other financial stuff) I don't give my number out. Do what I have done all these years , just make one up. I haven't had any trouble and would welcome some govt agency to try to take me to court over it.