Yep, I just did it now, I plugged a phone headset into the controller, then I can use that mic, and I have the option to put all other audio via the TV in the PS5 options (instead of the headset), so I hear the other players in my normal headphones.@rp2000 From what I've read outside of using a compatible headset I don't you can do what you're after, as I thought would it be an option to plug something like a mobile type of headphone/mic into the DualSense controller (using the 3.5mm jack) and do it that way?
Not ideal, but cheap solution and doesn't affect any of the other things I use my TV for. Just have to leave the wired headset on my lap while gaming!
rp2000