I'm afraid I don't have a Linux system, so it would be difficult to test. Is it possible to play in WINE or something similar? Otherwise I'll try to look into it!
I was able to get Wine to work! It required some troubleshooting though, so I'll leave some notes for other linux users:
The main issue was that the GUI-based archive extractors (for Linux Mint / KDE) were failing to properly extract the .rar file, leading to a corrupt .exe that Wine was unable to run. The context menu "Extract Here" option failed silently after extracting most of the content, but the "Extract" option after opening the .rar in Archive Manager *did* show an error.
To extract it properly, I had to install `unrar` and use it instead. For Debian/Ubuntu/Mint:
sudo apt install rar unrar
Then extract the .rar file:
unrar x StompingFriends_v020.rar
This extracts to a directory called "Earthquake". From there, you should be able to just open it with wine (`wine StompingFriends.exe`) or add it to your Lutris or Steam libraries.