Once when I first started getting into crypto, I accidentally sent sone altcoins to the wrong address and of course, that was that. The coins were gone.

That made me wonder if the following scenario is possible: Could someone create a brand new Bitcoin address and find Bitcoin sitting in his wallet if someone accidentally sent coins to that address a year or so ago?  Or will coins only show up if someone sends them to the wrong address and that address already exists.

I was just curious.