Yes. There is a place called Wintersburg General Store on S Wintersburg Road. They have a water spigot outside the shell station. There is a Dollar General and the Tin Top Bar and Grill in the same area. Go into the Shell station and ask they should let you fill a water can. They also have propane, ice and gas/diesel.
No, this area is very dry, no lakes or streams. There ARE a couple has stations on I-10. About five miles away, the Gila River has free water, but Im not how sure how clean it is.