Connecting PS4 connected Arduino to laptop to another Arduino?

My high school is entering an ROV competition and for next year's competition we want to try and set it up so that we can control it using a PS4 controller. I have done research and found this 1 shield for Arduino and this 2 library that allows you to connect it to an Arduino. I plan to then connect the Arduino to a computer via USB and then send each button press to a Processing program via serial. Would it then be possible to send this from Processing to another Arduino out of the laptop? I'm just wondering how feasible this project is.

I plan to then connect the Arduino to a computer via USB and then send each button press to a Processing program via serial.

Why? What is Processing going to do with the switch presses (the PS4 controller doesn't have buttons; shirts have buttons)?

Would it then be possible to send this from Processing to another Arduino out of the laptop?

Yes. Processing can talk to more than one serial port at a time.