If it wasn't a lift what did you do. It looks like it broke from pressure coming from the backside of the binding, not from the direction you would stress it while riding it. Something must have gotten dropped on it, stepped on, etc. My guess is when you tripped on it skating you snapped it.
Regardless you can definitely still ride it. In fact, if you want you can take the highback off and ride it which some people actually choose to do. That being said, it will be a different ride but missing a bit of the top will be fine, not ideal obviously, but if it's that or not ride, go ride.