Women can for sure do pull/chin ups!
Back when I was in USAF Basic and it was time for the PFT I popped out 10 pullups instead of doing the 2 min arm-hang that was the requirement for what ever the "honors" for women at the time (10 pull-ups was a male requirement)... And I caught flack from a female TI for doing so.
(I was raised to believe that there shouldn't be separate rules for men and women doing the same job.)
**Caveat- My father was a gymnast in college, the kind who could do iron crosses on the rings and such, and I somehow inherited his tendency towards natural upper body muscle. Once in high school I wore a scoop neck blouse to school and a group of girls asked me if I had been in an "accident" (car accident?) because my neck was "all swollen"... Um, No! Those were Traps!
I was young and had basically ALWAYS done pull/chin-ups and other physical stuff though (there was a bar out in the barn that I could grab... I'd also throw my legs over it, and hang from it upside down and do crunches)... Good lord the things I thought were "fun" as a child on a farm with nothing else to do!
There was also a 20 ft rope in a tree that I could climb.
Stuff to do when we weren't loading feed or throwing hay, you know.
Meh... Maybe if I ever heal I'll do a pull-up again one day.