Karate (and all Martial Arts) and Shooting? yes, definitely...
and also Artistic Gymnastics, Eventing (even if that dressage part should be removed and replaced with something else closer to a sport discipline) and Diving (in AG and Diving the real problems are only the biased and/or corrupted judges)...
most of the other disciplines you've just mentioned, no...some of them might have something really close to sport events (Surfing and Skateboarding, for instance), but others surely don't have anything to share with sport competitions (among those no-no: all forms of dancing, artistic swimming, dressage, bmx freestyle, rhythmic gymnastics and all the pure "mind games")...
that's just my opinion, of course...and I respect all those who have a different one, even if and when I don't agree...