The word "luck" can be defined many different ways. Some definitions are "the force that seems to operate for good or ill in a person's life, as in shaping circumstances, events, or opportunities," "good fortune; advantage or success, considered as the result of chance" or "a combination of circumstances, events, etc., operating by chance to bring good or ill to a person" (dictionary.com)
I often hear people wish one another "good luck" or someone might say, "If it wasn't for back luck, I'd have none at all."
While scripture does teach that "time and chance" befalleth all (Ecclesiastes 9:11), the idea that we're subject to the forces of luck (destiny/fortune) is not scriptural. It also seems that positing luck as a causal factor of the universe clashes with the scientific account of causes and their effects. In simple terms, it's hard for me to understand how stepping on a crack has anything to do with my mom's back, or how encountering a black cat or breaking a mirror affects one's fate. Luck seems to be the kind of thing that dreams are made of.