Phone [Q] Remote Access to Android without USB Debugging?

I have a Samsung Galaxy S3. I recently dropped it, and the internal touch-screen is broken. I can tell that the phone is working fine. However, the screen will not work. I'd like to find a way to remotely access my phone, since I can't access the screen. However, any and all methods I can find require at least a USB connection, and enabling USB Debugging. I can't enable USB Debugging, because I can't access my phone through the screen. Chicken before the egg. Is there any way to remotely access my phone, either through USB or wireless, without enabling USB debugging?