should definitely be doable - but using it to defraud me would be hard. Here social security numbers are used as an identifier, you can't really get to anything interesting with it. For that you'll need my passport, drivers license, digital ID or something similar. You can probably go to the doctor and claim to be me, but that's about it.

As a matter of fact a popular singer once published an album where the title was his social security number to show that you can't do much with it.