If you downloaded the game before you should be able to download it again, but that's up to itch.io policies. I think it's like buying a game at a Steam sale, and then having it in your library to play whenever you want.
If you're asking that if you have the apk: yes! you can we still play the game that was downloaded for free from itch.io official site.
Maybe I'm not understanding what the problem is here.