I think luck in golf is negligible. You may hit a lucky shot, maybe even a hole in one. Well, that only accounts for one shot and there are maybe 68 more to go - that is, if you are good! Good luck being lucky for every shot in a round. For me personally, I've not had a hole in one in 13 years. Golf is a game spread over many shots. The reality of the game is you have a handicap and if it is accurate you play to that handicap over many rounds. The more you play the closer you get to that average. You cannot defy statistics and you cannot defy your ability on a consistent basis.
Of course there has to come a crunch time in any walk of life whenever more than one person who is good at something have to compete for only one spot, one job, one trophy etc. This might involve tremendous good fortune or awful luck at the pivotal moment. But rest assured getting that far in the first place was never down to luck.