I see what you mean - though I'd call that believing in superstitions rather than believing in luck.
As I understand it, "superstition" involves a person thinking that they influence future events with their actions in unusual ways (e.g. thinking that blowing on a dice before rolling it will get them a six, or smashing a mirror will get them run over by a train).
Whereas the concept of luck is more of an acceptance that you're not the one influencing future events, and that the outcome is for the most part independent of your actions. For example, being an experienced snakes and ladders player won't help you win the game, because it's purely a matter of luck.