PS4 may in fact have Native Built in Hardware to Run PSVita Game's!

[ironmanDX]

It would be awesome, but no. Probably won't happen, unless you want to have a second job to buy a Sony console again. Not to mention it would be a kick in the nuts to the small amount of Sony faithful out there who bought a vita. It's basically emulating on a pc... Of course you'd have to buy the games though. Unless you have a ps+ subscription, then, like I said, kick in the nuts.