Can you ride a bike with a broken ankle?

Completely depends on you and the extent of the injury. When I broke my ankle in November 1989 (hit by a car), I still rode every day, even though I could not stand on it for 6 weeks. The nearly impossible part was clipping in, so I switched around and unclipped the right foot at red lights...made more difficult by the road tilting down to the right in my area of the country and starting up when the light turns green without putting any downward pressure on the broken foot. Interestingly, I can say that you will go 2mph faster with your foot clipped in (rather than left out) even with no pressure, merely because of the weight of your leg and the smoothing effect of more even power applied to the pedals.