I would mix the batter, refrigerate it overnight, and cook them in the morning. Will it be OK?
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Absolutely! The batter always needs to rest, the longer the better. Just cover your bowl with cling wrap and stick it in the fridge overnight.
Actually, I think an overnight rest in the fridge is preferable to using the batter right after mixing it. I always do this. Crepe batter will benefit from at least a two-hour rest, but overnight is best.
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Not only can you, but I highly recommend that you do. Your crepes will be lighter by far with an overnight rest.
Just curious...I never rest the batter. What will the difference be?