Chance exists. Luck does not.
What's the difference?
Chance is merely unpredictability. Things happening for little or no reason. Bad things happening to good people. Winning the lottery, or getting cancer.
Luck is chance that takes sides. Chance that can be swayed by a charm, or a ritual or that's just attracted to some people over others.
It's more complicated in that people can get lucky, but they can't be lucky. Getting lucky just means that, by chance, something fortunate happened to you. You pulled the lever and got the jackpot. But being lucky would mean that you would actually be more likely to get the jackpot than other people who are not lucky.