IPhone 4S AT&T and Verizon?

Hello, I have a Verizon iPhone 4S and an AT&T 4S, is it possible that I can switch motherboards from each phone. For example can I make the AT&T 4S a Verizon and a Verizon 4S to AT&T?

Please help thanks.
>>> IPhone 4S AT&T and Verizon?