Sometimes. If its just a few tiles that you need cut they most likely will if they are not busy. If you are wanting them to cut like 6+ tiles i can't imagine them saying yes.
Call around and make sure. Where I live, only 1 of the 3 stores I went to cut tile and they cost 5 dollars per cut(the lovely gentleman I talked to lowered it to 2). Don't make the same mistake I did and go to 2 different places to find out neither cut tile.