It is possible some of the smaller pullet eggs will hatch, but the odds of the chick dying in the shell because they are too big to turn in the shell or that the chick will be born with a deformity is higher than if you can use normal sized eggs. I understand your eagernesss, but I would wait.
I just hatched some pullet Marans eggs. They were shipped as well, and I still got 4 chicks out of 8 eggs. I don't remember the chicks having any trouble hatching. I did lose one before pip. I think you'll have good luck with them.