Yes.

In fact, you should rely less on alarm clocks, which might blast away your dream memory -- the shock of abruptly waking up from the trauma of too much noise -- and you should depend rather on the more subtle influence of needing to go to the bathroom. Drink A LOT of water before going to bed, and then more water every time you need to get up. This way you will awake at the end of most every REM Cycle.

Of course, for this method not to enervate you with so many awakenings throughout the night, you must be able to fall asleep quickly. This requires that you live well and have a clean conscience.