Personally i'd have my doc call in a prescription for me to cover me for the month and then order the rest, my body is not a big fan of going on again off again with BC, doesn't work out well for me.
But if it doesn't really effect you, i dont think it would severely detrimental to your health to go off the BC and then go back on. Just remember you should be on it for a week (i think it's a week with Lutera) before you have sex without a backup method because you wouldn't be completely protected. If you've been on many kinds of BC you probably know that though.
Definitely do whatever is easiet for you.
Hope this helps. =)