I read somewhere that this is possible... I believe you have to link it to your computer but I don't remember. My PC doesn't have BT so I can't try it either
I don't think it is a good solution. There is latency in bluetooth that I think you will notice in VR. I would rather see a (best) headphone options similar to the Mantis, or just cable length appropriate headphone options.
There are some videos on YouTube on how to get the Quest working with Bluetooth headphones. It involves enabling developer mode and side loading some software...