No, it is not at all necessary to use the blow dryer to dry the remover from your nails. But if you want your nails to get maximum chip resistance, then using the blow dryer is recommended.
But this nail polish edge cleaner much hardness can be obtained if you wait for 4 to 6 hours or else it can be done in some coupe of minutes only by increasing the speed of hardening of your nails. Moreover, you can also make them hard by painting it in the night and leaving them as it is. But still, the nail pail remover can easily wipe out the paint from the hard nails.