Yes and no.
Backbone One unlocks a world of possibilities for all types of gameplay experiences. You do not need a PC or Xbox console to play hundreds of great controller-compatible games. However, PlayStation remote play and Xbox remote play do require a console to play. Whereas Xbox Cloud Gaming does not as you can stream directly to your phone with an Xbox Game Pass Ultimate subscription - no console required!
The Apple App Store also offers hundreds of great controller-compatible games to dive into and there are various cloud and remote play options available for players to access Xbox console and PC games without needing to own either.
Check out the Platforms page to learn more about your options, including Xbox Cloud Gaming, Remote Play, and GeForce Now.