No. The console handles all the processing; your phone acts as the screen and controller.
The PS Remote Play app is the official Sony solution. It allows you to stream your own PS4 or PS5 console directly to your Android phone. ps4 bios download for android
If you are looking to experience PlayStation 4 titles on your mobile device, here is the current reality of the tech and the official alternatives. The Reality of PS4 BIOS and Emulation ps4 bios download for android