Yes, also happens to me. I used to have a stereo with an alarm on it and I used to wake up and leap out of bed to turn it off before it came on because it was so annoying.

I also once had an alarm that clicked with the power coming on just before the alarm went off. I sometimes used to wake just before the click but more often with the click. It was the tiny clickisound and not the loud noise that woke me.

Chab