Certainly, as far as I know, "getting lucky" is the same as "lucking out". Without any checking and without prejudice, I suspect that "lucking out" is an Americanism.

My fully-errant memory (no discombobulating cold here, although I do have an attention-seeking kitten with four full and fully-operational sets of claws to distract me) tells me that I have most often heard the expression on American TV shows.

So (furiously chopping liver) it would appear that "out of luck" is indeed a fully antonym for "lucking out".