Unlikely. While in theory someone could create a compatibility layer, it would be quite a challenge, as obviously, kernel modules are very closely tied to the specific kernel. I did some web searches, and only found the same few dead projects (that didn't completely solve this issue anyway) that you found, and other forum posts that offer little encouragement.
Make sure you have the latest version of Windows 10 or 11, and the latest drivers for your network hardware. If you do, then there's probably not much you can do about this.
I have the same problem at my school, but thankfully, the school library has laptops I can borrow with the lockdown browser installed. It isn't ideal, but is there a similar arrangement you could make?