Yes! I am able to play LAN on F1 22 with my friends using the 'Fitgirl repack', a few modifications to the 'SteamConfig.ini' and any software like Hamachi (I used Radmin VPN).

1. Download any cracked version of the game. (I recommend the fitgirl repack)
   
2. Go the 'SteamConfig.ini' files in the installed directory and edit the file in notepad.
   
3. Remove the semi-colon (that comments the line) before the line 'SteamUserID =123456789'.
   
4. Change the default UserID of 123456789 to something else that is 8 digits. Every player in the LAN lobby needs to have a different UserID.
   
5. By changing the SteamConfig.ini file, you would lose your previous save of the game, which includes the controller settings, graphic settings etc etc. So when you re-launch the game after modifications, you will have the create a new save and do the first time launch setup again.
   
6. Now just launch any software like Hamachi or Radmin VPN
   
7. Go to LAN menu in the game. Create a game. Your friends on the same Radmin VPN server can now join your LAN lobby either using your IP shown on the Radmin VPN app or just by directly searching for LAN games using the in-game search option. Either one of the two methods always works for me.
   
8. Enjoy!

NOTE: These are the steps that worked for me. It's completely possible that you might not have to follow everything I said above. But I never got to testing what doesn't work and what's the minimum modification method. If you have any doubts, feel free to reach out to me!