Not jumping on you personally, Mizore (no pun intended). You're not the first to suggest this. But I think it's just plain unfeasible and a little silly.

This isn't like hiding a weapon or a piece of armor. Even if it was possible, what would it look like to others when you jump over a fence or a rock? Will you just run right through them on their screen? Will you float through the air?

Hiding it will actually look sillier than not.