Two bicycles colliding on an MUP is not a hit and run. There's no need to call cops and waste their time.
Last week I had a head on collision with another cyclist on an MUP, my front wheel cracked, his wheel cracked and his fork got bent. He left his damaged bike along the path locked it to a railing, I just trotted home for 2.5 KM and carried my bike on my shoulder.