Yes, women can do pull-ups

... there are the hormones, we don't have as much testosterone so it's harder to put on muscle mass even with weight training," de Mille said. Keys to pull-up training In order to properly train to do a pull-up, women need to focus heavily on ...

http://www.foxnews.com/health/2014/01/07/how-women-can-learn-to-do-pull-ups-solving-marines-female-pull-up-problem/