I'm only marginally familiar with Frostpunk as a genre - what sort of game is your friend looking for? Gritty apocalyptic survival with some settlement building aspects?
Ironsworn could be easily tweaked to fill that need, I think. I suspect Savage Worlds could too. I see a lot of suggestions at https://forum.rpg.net/index.php?threads/frostpunk-tabletop-system-recommendations.858901/ too.
If I may ask, why is GURPS not desirable? I know it has a few supplements for exactly this; including character templates to simplify chargen.