upintheair7 - i do no think it would be a problem because they are quite flexible and also i do think that you should try your luck.
if the OD is 13 October means you might be having your FI around 15-16. in most cases for two weeks you won't be hearing anything and even if they do recruit you you will be starting maybe in December since you will have to do your medicals. and also you may eventually ask your recruitment coordinator to give you another date if you do not want to join them on the date they will propose you (but do tell them a reason - that you will be completing your studies on this date)
good luck for the OD