The NOIM creates a minimum notice period, not an obligation to go ahead with the wedding. Your celebrant must normally receive it at least one calendar month before you marry. That is a calendar-month calculation, rather than a fixed 30-day wait.

You can decide not to marry at any stage. Tell your celebrant promptly if either of you changes your mind, and discuss any booking arrangements separately.

If you want to marry sooner, a prescribed authority must approve a shortening of time under the permitted circumstances. Your celebrant can explain the process, but cannot waive the notice period simply because you would prefer an earlier date.