No you can't finish the game in two minutes - as if - but you can watch below the first two minutes of the Bioshock Infinite demo that was shown at E3 this year. The full fifteen minute demo will be aired on Game Trailers TV on Thursday July 7...
If you never played Bioshock before, note that it is meant to be weird and creepy. The character Elizabeth? Don't be surprised if she stabs you in the back when you are not looking.