Yes, you can play Age of Empires on your phone, but only a specific version of the game is available for mobile devices. The mobile version of Age of Empires is called Age of Empires: Castle Siege, and it is available for download on iOS, Android, and Windows Phone devices.
Age of Empires: Castle Siege is a free-to-play game that combines elements of tower defense games and traditional Age of Empires gameplay. It features a medieval theme and allows players to build and defend their own castle while also attacking and raiding the castles of other players.
It’s important to note that Age of Empires: Castle Siege is a different game from the main Age of Empires series, and it has different gameplay mechanics and features. If you are looking to play the classic Age of Empires games on your phone, you may need to use an emulator or a remote desktop app to play the PC versions of the game on your phone, although this can be a complex process and may not work well on all devices.