No, that does not make it causal.
1) Causal relationships are directional. Which then follow your own logic. You can reason that it is directional because you can see that there are many ways to get into rich zipcodes without being rich.
2) You can find many rich people that don't move into wealthy zip codes.
So actually, it is just correlating. If we use Judea's ladder, then it is causal in that sense, but that's the lowest rung and not what we'd call causal in a colloquial (or even statistical) sense other than to be pedantic.