The physics system is pretty much all or nothing. It is possible to use a non-physics object in a physics world, but it's inadvisable, because there are probably ways within the physics system to accomplish what you would want to do.
However, you should NOT have an object use physics in a game that doesn't use physics. It won't work, and you'll cause yourself all kinds of problems. As
@Pyxus said, physics is only suited for games that rely on physical simulation (Angry Birds, Pool, Pinball). See this
thread.