Luck is definitely an element of the game. You can get a lucky pairing in a tournament or make a lucky move (you only have 16 pieces so something like a max of around 100 possible moves in a position to consider; if you know nothing about chess other than how to make a legal move, then 1 in 100 is pretty decent odds to select the best one!), but you can't have a lucky career.
In this sense, it is more similar to something like golf then something like running. A hobby golfer could hit a single better shot than a pro one in a thousand tries, but they will never have a better round then one. On the flip side, a hobby jogger will simply never come close beating a pro over any distance over say 1k over the course of a race (barring injuries in both cases)
Troll. Probably hopeless, too.