For a while I was a working mom and it was a very busy time in my life. I'd say if a woman has the support of family and friends to have a career and be a homemaker/caretaker, then yes, she can be very successful. I was lucky enough to have my parents watch my son while I was at work and my job was such that I was able to be home evenings, weekends and summers with my son.
Does it work for every woman? No, but like I said, if there's enough support, it can be done.