On paper it would be possible but at the very least the graphics drivers are going to get in your way (on purpose, for robustness and other reasons) so you'd need to be running like... a custom kernel module or custom graphics driver to do this. It's not safe to let a regular user-mode application do what a PS4 game can do. (The PS4 does security at a hypervisor level instead, and generally your game is not about to steal credit card numbers from another user-mode process on the console like it could on a desktop PC)