Yea, its possible. I figured you were leaning more towards them being slick tires not getting good enough traction, but that is a possibility. I doubt its true in my situation however, seeing as the lights can come on just 1 second after turning on my car.
also, don't know if this helps any, but one time I was driving 55ish down a road, going completely straight (some small hills) and the lights came on. I threw it into neutral, turned off the car, turned it back on, put it back into drive and the lights didn't come on anymore the entire way home. The wires behind the wheels looked great, I don't see any wear on them, so I don't know if there would be an issue with the wires. This car is from Kansas, and has very little rust on it, and was a generally well-kept so I don't know about it being a wiring issue *unless its the wiring leading to the sensor behind one of the wheels from the wheels moving and vibrating.
I just need to figure out which general direction the issue is in and get it fixed. I can't be sliding through any more red lights because the abs is going nuts lol.