This is a very interesting question that delves into the realm of quantum mechanics and the theory of relativity. According to Einstein's theory of relativity, it is impossible for any object to travel faster than the speed of light. This means that if you were travelling in a car at the speed of light or faster, you would not be able to see your reflection in the rearview mirror.
This is because at the speed of light, time and space become distorted, and the laws of physics as we know them no longer apply. This phenomenon is known as time dilation, where time slows down for an object as it approaches the speed of light. As a result, even if you were travelling at the speed of light, it would take an infinite amount of time for light to reflect off your face and reach the rearview mirror.
In addition, the speed of light is the ultimate speed limit in the universe, and nothing can travel faster than it. So, even if you were travelling at a speed close to the speed of light, the light reflecting off your face would not be able to catch up to you and reach the rearview mirror.
Therefore, the answer to your question is no, you would not be able to see your face in the rearview mirror if you were travelling faster than the speed of light. This is because the laws of physics and the concept of time and space would not allow it.