Yes. Provided you have no disability to possess/own and the cash, most definitely yes.
The PSP runs its own “instant” background check that every buyer has to pass prior to purchasing from a dealer.
Private sales F-T-F between Pa residents require no such check.
As is the case in most states.
Here in Colorado, all gun show sales are already required to be subject to background checks, so there is no "gun show loophole".
Notice that the language has changed now, though. It's no longer the "gun show loophole", it's the "background check loophole".
ALL private sales are in the cross-hairs.
Full registration being the goal (for starters).