Tesla does have the ability to disable your car. I was recently at an overnight corporate event with a bunch of SpaceX and Tesla staffers and execs and in a drunken after hours party the SpaceX exec (VP) asked this question about his car to a present Tesla Software engineer. Not only did he remotely access the car, but he was able to spy on the location of the VP's girlfriend who was using the car in his absence. He offered the exec to kill the cars power in the driveway so she couldn't use it anymore, but there was some pain in the ass battery issue they didn't want to deal with to get the car going again (involved getting it towed). SO...Tesla does have the ability to stop your car and the children that both work for Tesla and SpaceX screw around with this feature during drunken escapades.
I have to say I was highly disappointed with the level of professionalism displayed by Elon's middle through upper level management at both SpaceX and Tesla. It was interesting to watch the working level engineers draw all over the VP's face with a Sharpie when he passed out on the floor. I am questioning the future of both of these companies. There is no possible way they can sustain growth and maturation when their foundation is so completely immature. I know the names of all present and it's a who's who of their corporate and tech leadership structure.