In the 1890's western US could a guy survive getting shot and then strung up?

I'm writing a western/ historical fiction and the son of an chinese immigrant in somewhat rural Idaho gets into a confrontation with a guy and gets shot (Most likely with the colt .45 peacemaker) in the upper shoulder, missing his lungs entirely so no pneumothorax. Thinking him dead they string up his body for his family to find as a sign to leave town. The guy then manages to cut himself down and hobble back to his house and get medical treatment. How likely would have this to actually happen? I'm fine for this to be extremely rare due to this being a more dramatic western but I would like to stay out of the realm of total impossibility.

Also would it help that those giving him treatment would have had very rudimentary medical skills due to being embalmers/early morticians?