I don't think so, although..."an active diversion requiring physical exertion and competition". Then again if it's beneficial for it to be categorized one, lets hope so. Archery can be a sport, firearms are used in sporting events, swords can be as well and all 3 are used in war, but war is not a sport. Hunting is more than a sport, although it is sometimes part of one. The contests we have here are every bit a sporting event.

Hunting is for sure made up of "sports"
"a person known for the way she (or he) behaves when teased or defeated or subjected to trying circumstances; "a good sport"; "a poor sport" "