Wireless Android Auto or Carplay generally use BT to setup but WiFi to send the bulk of the graphical data over.
That said, there are adapters to make an existing Android Auto Wireless if you want it. I think some are sold on Amazon too so you could probably try and maybe return. I don't have any experience with them since I'm very happy with my car's built in wired Android Auto and the reliability of cabling but it is something you can try.
Thanks for the tip. I'll look into it.