Can I get an earlier shipping date?

I graduate High School June 6th, and I NEED to get away NOW. I am in the Navy DEP, and would like to leave right after I graduate, but the only problem is, I need my HS diploma first. I was wondering if right after I get it, and I mean the same day, or next day, could I call my recruiter and ask for an earlier shipping date which was originally November 22.