While the basic idea is interesting, the statement is misconceived. It confuses what you believe to be possible with what is possible according to quantum physics.

For your statement to be true, the lottery would have to be set up in such a way that the choice of winning lottery number is decided by the outcome of a quantum measurement which includes the possibility of your number being chosen. The outcome would then exist in superposition, and as soon as you learn the result, you are entangled with it and enter into superposition as well.

But like I said, the core idea is still fun to think about, because this type of branching happens constantly and it becomes an interesting philosophical dilemma of how to think about what could possibly happen, not merely what does (as far as any 'you' can tell). Imagine if you could experience all outcomes of some particular chain of events and how that would affect the way you make decisions.