Can women jump as high as men?

As explained in the other FAQ about women and vertical jump, the primary difference is the amount of inherited muscle fiber, which is larger in men then women. Women also tend to have slightly less developed form, and athleticism, but this could be largely cultural and a result of what a boys and girls do when they are young. A study suggests that women have about 9 inches less leaping ability then men.

This definitely applies to female and male players.  The only difference is the amount of muscle fibers that women and men typically genetically inherit.  Women nearly always have less muscle fiber than men; however they can both train the muscles to jump in the same way. Women training correctly will see their vertical increase significantly.
Does that help?