Probably needs access to run scripts and photos appropriately. On a computer it would have access to the needed files automatically, on a phone it needs you to say it's allowed to do it. (I only download itch games on a computer not a phone so I'm not 100% sure about that though.)
this game doesnt require WIFI to run; so there is nothing in the game itself that would be able to steal any of your photos. It would have also been detected by your phone itself. it's safe.