Game Input MultipleXer

Hi, I recently got the iOS 13 beta for my iPhone and I realized that in the new update that I could connect my Xbox controller to it and play games. Now my question is could you use the Bluetooth adapter used in the ps4 mouse and keyboard setup with an Xbox controller to connect to iPhone? it sounds possible in my head but I don’t know how the Bluetooth capability’s are set up for the adapter. Thanks

Hardware-wise it's probably possible, but software-wise it's probably not. iOS probably does not give the low-level access to the bluetooth stack that is required to emulate a Dualshock 4.