Core strength is often lagging in females, which makes your back sag when you try push ups.
If you arent already, keep up the planks and swiss ball rollouts, or any core exericse where you have to keep the core still (see my core conundrum post again)
but in short, the answer is YES, you will be able to do a press up. Its just practice and strengthening the core, shoulders and triceps with similar exercises.