In some cases.
Backbone One unlocks a world of possibilities for all types of gameplay experiences. You do not need a console to play hundreds of great controller-compatible games.
That being said, if you want to use PlayStation Remote Play you will need a Backbone One - PlayStation Edition for Android and a PlayStation console.
Similarly, if you want to use Xbox Remote Play you will need an Xbox console. But you can use Xbox Cloud Gaming without an Xbox console as long as you have an Xbox Game Pass Ultimate subscription.
The Google Play Store and GeForce NOW also offers hundreds of great controller-compatible games to dive into.
Check out the Platforms page to learn more about your options, including Xbox Cloud Gaming, Remote Play, and GeForce Now.