Will Crayola school glue work to apply fake nails?

NO. This type of glue will not adhere to the nail bed, it will just create a huge white paste mess. I would suggest any brand of nail glue from mass retailers or drugstores (Walgreens, CVS, Target, Walmart, etc.) I personally like the kind with a brush instead of just a squeeze bottle-- less bubbles are created when you apply the false nail!