Connect Phantom 4 to multiple controllers

Hello

I have a DJI smart controller that I use for my Mavic Pro 2 but I am going to be working with a new company that owns 2 Phantom 4 Pro V2 drones.

I am hoping that I can connect both phantoms to my smart controller and they will remain connected to their OEM controllers for when my coworkers use them separately.

What I am asking is if this is possible or will I need to reconnect the oem controllers each time after using the smart controller?