The way Domino’s powers work in the comics is by subconsciously and psionically using telekinesis to manipulate her surroundings to achieve desirable outcomes that appear to be a stroke of luck.
The coin lands on heads, the wind blows the right way, the gun doesn’t fire, etc. It’s unclear if her abilities work that same way in the X-Men film universe, but as we saw with Zazie Beetz’s Domino, her luck required no effort on her part, and she just breezed through obstacles without with complete confidence things would work out.
Now, the kind of luck superpower Stan Lee was formerly talking about on The Ultimate Nerdament sounds like it is a whole extra level beyond what Domino’s powers are capable of.
But her life wasn’t perfect, as her luck only extended so far.