I was on a climbing trip in Alaska and my partner fell and hit his foot against a rock causing an ankle injury. He had significant pain and noticeable swelling. Several days later after we finished the climb he was diagnosed with a distal fibula fracture, aka broken ankle.

I once fell 500+ vertical feet skiing down a 38 degree couloir and partially avulsed my right quad tendon among other injuries. I wrapped my leg with a coban and skied for several more days.

Mountaineering and Exploration literature is filled with many examples of people experiencing serious injuries, some life threatening, and walking, limping and crawling back alive.
I've personally witnessed people basically duct tape themselves together and walk out with a full load of gear to get home.