A version of BioShock Infinite was supposed to come to the PlayStation Vita, but some bad business between Sony and 2K got in the way. But it seems like Kevin Levine is still looking to get the game on the PS Vita. 

Levine has stated on Twitter that he spoke to Sony and 2K about the game, and how they are still “trying to make a match.” 

Hopefully the game does come to the PlayStation Vita, the system needs games, and Vita owners didn’t get many announcements at E3 from Sony regarding new games coming.

Source: http://www.vg247.com/2013/07/13/bioshock-vita-levine-trying-to-make-a-match-between-sony-and-take-two/

I dont want a port; I want a unique Bioshock game for the system.

When you say the system needs game, I don't think games that you can already get on other consoles will help it at all.  It really just needs exclusives, not more ports.

It doesn't need a port of a game that is already half a year old.

Bioshock Infinite was never meant to come to Vita, but a brand new Bioshock IP designed for Vita. Thread name is very misleading.

yeah, i also NEVER heard of Infinite getting ported to vita. it was always a standalone vita exclusive game.
and they also said "once we finish bioshock infinite we will continue with Bioshock Vita". i always thought this means they canned it, but it seems they meant it like they said it.

I expect a iOS version sooner then a Vita version.. How many handheld games did they release anyway?

I thought Levine always planned a different Bioshock game for the Vita and not an Infinite port?

Meh they can keep there ports.

I don't think many people would be excited for an Infinite port at the end of 2014...