This would require the other manufacturer to put the tesla protocol in their cars. Tesla fast (super)chargers do a communication handshake with the auto. This also requires the car to identify itself, since all charging costs are handled through an existing user account with a credit card on file.
I have seen a post with a picture of some other type vehicle supercharging but I don’t how true it is, or whether it’s just someone trying to be funny. (Like the really clever pic of some confused simpleton sticking the charger cable in their car’s gas tank. Likely staged)
The L2 slower chargers, 240V 40A AFAIK don’t have any communication protocol. The power is controlled by the on-board charging system.