Did I read somewhere that you can pay off an advance payment a bit earlier & apply earlier?

I'm due to make my last payment on one of mine the 29th May, but can't reapply til June 11. Can I not apply before then, even though its paid off?

I need to take DD1 to Perth for a netball carnival early in June. About a week before I can apply, but there's no way I can do it without an advance.