Yes, you can get approved as a monk/druid, but I wouldn't take that as an encouragement as it would be difficult. Multi-classing restrictions apply, but it is possible over time. It is most likely that it will never be approved on submission because of all the knee-jerk reactions associated with the combination - we would rather see it over time than in just one big collection at the beginning. We've had people try and it always just comes out looking like excuses over reasons, no matter how long the bio gets. But you can submit as one or the other and with a LOT of work and probably a CDQ (maybe more than one, depending on the justification), you can leave one path for the other.
I would just submit for one and see where it goes without anticipating the second. With the whole RP thing you often end up nowhere near where you expected when you started out.