Can a wire gauge be too large?

I am far from an electrical genius, but it was always explained to me much the same as water running through a pipe. A bigger pipe will flow more water, but lower the pressure. A smaller pipe will not flow as much, but flow at a higher pressure.

Lookin at it like that, a bigger wire will flow more current, but lower voltage. A smaller wire will flow less current with more voltage. whether that's right or not I don't know, but it sounds good. LOL