Chance has no memory, but after a series of random events we'll have a curve on which the outcomes are distributed. We'd describe someone at the far end of the curve as lucky. I don't think we should ascribe magic powers to people who have had events in the past turn out in their favor. If I rolled lots of 20s last game, I submit that I am no more likely to roll 20 the next toss (given fair dice).
Now that I am thinking about fair dice, in terms of the human condition, I don't believe people are born with the same set. I think a lot of what we're referring to as a person's luck may be better described as a person's privilege. It can come in the form of wealth, parenting, intelligence, beauty, athleticism, artistic talent or whatever. Privileged people are more likely to have what could be considered a lucky life. Outcomes more frequently fall in their favor, given equal effort.
Are you trying to get an "Intro to Philosophy?"
Let's start with - "existence"
The feeling is a result of outcome vs expectation. Dopamine, and other neuro-elements at play. It's sometimes pretty powerful, so it makes some people think the feeling's attached to something bigger than themselves, whatever that might be.