Can you get someone citezenship if you have a warrant?

ok, so im gonna make some assumptions here. first: you mean an arrest warrant; and second: you mean change someones Immigration status via marriage. well let me say this: if you go into an immigration office, they will be able to check your criminal record. this means you will get arrested. however! you can still marry in jail in most states, so you can still sponsor your significant other. although the INS agent who will investigate your alleged marriage will not very likely grant you clearance, given that you are in jail. (how exactly would a marriage that is not aiming to purely score papers work?)