Two feats in sports occur only occasionally and to a handful of athletes. The first is the no-hitter in baseball. Since you are backed by 8 teammates, I consider this feat more skill than luck. Granted, in every no-hitter there is at least one play in which someone makes an outstanding play, and there is always luck as well as skill in these. No hitters are very rare in baseball after the Little League phase. They are quite common in softball where a pitcher can really dominate a game. If you check into softball no-hitters, of the 21 outs more than half will usually be strikeouts which is pure skill on the part of the pitcher.
The other sporting event is the hole-in-one in golf. The skill is the ability to be able to judge the distance to the hole and then hit the proper shot. I would guess that I am right in saying that in many hole-in-ones the golfer actually missed the distance, but a good roll took the ball into the cup. It is seldom that a hole-in-one actually directly goes into the cup. A friend of mine actually got a hole-in-one when he/she missed the green entirely, but a lucky bounce and a great roll took the ball all the way to the hole. That was pure luck!