[extrapickles]

Nope. If your car lost power for whatever reason, the system would scavenge power from the inertia of the car and the brakes would still operate as they do when the car is operating nominally. The 1-10w needed to run the braking system is a rounding error in comparison to the 4-10kW of wind/rolling resistance at freeway speeds.

[SketchySeaBeast]

1-10W will run the entire braking system, from foot pedal through computer systems to activating the breaking resistance?

[programmer_dude]

It is possible. Some embedded systems can work in the milliwatts to microwatts region.