The idea of luck is actually contrary to determinism. In fact, the idea that things are determined by luck is inherently paradoxical. Luck is a probabilistic quality, and therefore you could never make accurate determinations of an outcome if luck ever came into play. A universe without free will is a universe with no luck at all.
Anyone that thinks free will doesn't exist is free to tell me the deterministic equations for quantum mechanics. The moment you give me those, I'll believe you, until then, as far as we know, the universe is indeterministic. Again, you're free to prove otherwise by proving the universe is deterministic at a quantum level. Free will is a scientific concept that can falsified, but it hasn't yet, and I'm willing to bet none of you here have even tried to do so.