Nope. Unless you specifically dial it down, the car will attempt to draw the maximum that the particular adapter you are using will allow, and will pop the breaker if it is over the capacity of the circuit. Having said that, the adapter, receptacle, wiring and breaker should all be matched for capacity if installed correctly and to code.
This comes in to play with home-made adapters. For instance, you may have a 20 amp, 240 volt outlet, but there is no corresponding Tesla adapter for the UMC. What do you do? Some would make up a cheater cord with a 20 amp plug on one end and a 14-50 outlet on the other. Plug the Tesla 14-50 adapter into one end of the cord, and plug the other end into the wall. Tesla will think it can safely draw 40 amps, but when the 20 amp breaker sees that, it will trip. What you need to do in this case is dial the car down to 16 amps (80% of the 20 amp circuit) and it will work. The car will also store these charge settings based on GPS coordinates, so if you are doing this regularly at the same location, you don't have to dial it down each time.