I don't think i could do a pullup on a wall, it's quite a bit different than using a pullup bar. Technically it's actually more like a muscle up anyway where you need to get your arms above your hands. Anyway, in my gym most women can't do a pullup. it's just a pretty tough exercise. Even most man can't do it unless they're quite lean. adding a few pounds and it becomes much harder. My advice would be to try not not get in an institution to begin with. Probably the best idea on many fronts.