don't know really. It has some kind of touch pad on it. But since Ouya has a controller, the games designed for it will have gamepad inputs.
for other games, who knows yet. Maybe Sixasxis Controller app may be able to help. It has touch simulator profiles. It's rather hit and miss on it's success. It's not the app, but some game's touch inputs are not static, so it makes it more difficult to setup.