No he doesn’t not in the way you are saying. Even a little bit of googling shows this.

This only ever appears to have been for the fast and the furious and that can be firmly placed on Vin Diesel for that.

I’ve found nothing at all that seems to bring this over to other movies and only speaks of the fast and furious movies. Could the rock ask for that in other movies? Of course. But do you really think his agents and his people and the rock himself would have him as an actor who can’t lose in any fight in every movie he is in, and then let that info get released? Of course not. They know if they have something like that it would severely restrict the movies the rock would be involved in if the movies can’t have the rock shown at any point to lose a fight.

He can lose fights he just wasn’t going to lose any ground in the fast and the furious movies especially since he had an ongoing feud with Diesel.