I've had two female engineering managers during my career. One was the worst micro-managing chasing-your-tail directive giving boss I've ever had the displeasure to work for. The other was just about the best manager I've ever known. Just sayin'...
Margaret Thatcher and Golda Meir.
Probably two of the most capable statesmen in the last 100 years.
Women can do it. They have to want to, and they seldom do.