No you cannot. Unless your medical doctor advises you other wise. Tylenol 3 is Acetaminophen with a powerful narcotic analgesic called Codeine. Codeine's side effects include but are not limited to:...
I would suggest drugs.com as a starting point, and entering Tylenol PM. Then you can begin to see what exact chemicals you're dealing with, and see if the mix you're considering is OK or not.