No. This game is designed for Windows PC, using the Quest as just a headset. The Quest 2 (as with most other headsets AFAIK) all use a custom operating system based on Android, which can't run Windows applications directly.
You could try using a WiFi connection, assuming your WiFi is good enough. Otherwise, you're just going to break down and buy a cable. I'm using a relatively inexpensive 12-foot cable I ordered online and that's been working pretty good so far (I think it cost about $15, but I've had it for a while so I don't remember anymore)