No, I believe that would result in duplicate notifications.
There is no internal tracking for whether a particular notice has been sent out, so if the cron does not run for an entire day, the notices that should have been sent that day will never be sent. More critical tasks like invoice generation or auto debit, etc will occur when the cron next runs.. but late notices are not in that category.
Is it common for your cron to not run for an entire day?