I believe that a conditional offer of appointment can be offered, pending the results of DoDMERB. However, you need to get that done ASAP!!! It takes around 6 weeks for them to process it...which is really bad if you get medically disqualified because the waiver process is supposed to be really long
(I took my DoDMERB in June and just found out a couple days ago that I was medically disqualified for vision--I'm in the process of retesting and getting my results sent back in)
It takes them longer to process applicants when more applications come in, because DoDMERB tests all of the service academy candidates and ROTC scholarship applicants