Sure, and I still remember an encounter I ran where the PCs were in a burning warehouse because they failed a whole bunch of checks and the bad guys trapped them inside and started the building on fire. Even after busting down a wall to an adjacent building, they then decided to help others get out out. It was a lot of fun. I do many scenarios or even entire sessions with 0 combat.One of the situations we were in, in a very low combat game, was a terrible fire sweeping through the town. The heroic action involved rescuing trapped people, being trapped in a temple as the ceiling started to come down and trying to help people across a river after the bridge started to collapse.
There was still 'existential threat', drama and tension.
To run such a game the GM really has to know what the players want to get out of the game and the sort of challenges they enjoy. If it ticks all the boxes for all of the people playing the game it is fine. You can still play a barbarian in a non-combative game. You play it because that is the character you want to play.
But if there is no combat, then half the game rules or more suddenly become irrelevant. There are other games that would work better for something like this.
I just think it would be very limiting in such a way that I would use a different system for an ongoing long term campaign. YMMV.