I bought a pair of boots cut Jean's for my grandson and they are to short ,I can not find my receipt but I bought them with my American Eagle save card.So can I exchange for a bigger size?

I don't see why you can't, they should have a copy of your receipt for there records

Yes

Can't imagine why not. Have done exchanges just like this before, so it shouldn't be a problem.

Yes you can as long as its a exchange and not to recieve your money back