No. "Steering", "braking" and "accelerating" in this instance are all nouns for the actions carried out by the driver.
You see it is the vehicle that is accelerating (which is a verb), but the driver is carrying out an action which causes the vehicle to accelerate, and that is a noun because it is what we call that action. What the driver is actually doing is pressing pedals and turning a wheel, and of course the pressing and turning are verbs. But "accelerating" and "braking" are just what we call those actions carried out by the driver. So you would not speak of the driver possessing the accelerating, braking or whatever in this instance.
The Autopilot feature is designed to allow Teslas to cruise highways without drivers steering, braking or accelerating.
If your intention is to make the sentence refer to a single driver you could change it to:
The Autopilot feature is designed to allow Teslas to cruise highways without the driver steering, braking or accelerating.