Yes but it is expensive and has perfume and will make too much suds. (I do wash some of my woolens in shampoo if I an on a trip and I can not get to my usual wool wash compound)
PLEASE USE SHAMPOO SO YOU DONT SMELL ! ! !
The detergent in the shampoo removes the dirt and oils in your hair without leaving behind soap scum.
Heck yes you can! it gets those buggers right out of there!
My favorite clarifying shampoo that I always recommend to clients is Paul Mitchell's Shampoo 3.