Yeah it does. Sorta. It’s called Death Run, but it’s a genre rather than a game. There are two versions.

The first is purely PVE where disasters keep ramping up on its own and you have to escape it. I used to play this on Roblox back in the day. Basically it’s like a flood or fire and you either have to find a way to survive, or continually move through the map to reach a finish line.

The other more popular one is Player vs Single Player, meaning one person controls all the traps and disasters and everyone else has to survive them. Think of Saw. Usually this is a linear mode where you go from one end of the map to the finish line, and the controlling player has to activate the traps at the appropriate times like when a survivor player is jumping in a platform that platform disappears and the player falls to his death. I’ve played these is CSS and Minecraft.

It seems to be popular in Fortnite but I’m unsure which version. But it’s not really battle royale since multiple people can survive