It looks like Papers, Please creator Lucas Pope would like to see his creation on the PS Vita. The only thing stopping him is that he does not know who to hand the development duties too;
In an interview with VG247, he states that there would be some technically challenges to over come if it is ported to the Vita. The big issue is that it was originally designed for the "big screen". From what he says, it really seems that he will only port if the version is as good as the PC. I know this sounds silly, but some developers port because that is what they were told. In this case, Pope is standing is ground and has some solid reasons.
Papers Please is a puzzle indie game available on Steam which sees you in control of an immigration office and you sole job is to decide whether certain citizens are allowed into the country.
With how Sony currently back Indie titles, I am sure we it will see the light of day on the Vita.