Well, you could, but think about it. A cop would have to be in the oncoming traffic lane, see you, and then swing around and give chase. That's why it's much more common to be pulled over for a taillight that doesn't work.
I remember years ago I had a car and one of the headlights burned out. I got it replaced, and then the other one burned out. I just said screw it and drove around with my brights on all the time. It was an old car, so they were really weak. I think I just kept it that way until I junked the car.