No. Automated Form Reporting runs with the schedule that has been set up for it. It reports any forms that have been Submitted since the last scheduled report was done.
For example: If the report is scheduled to run every Friday at 5pm, then it will report on Submitted forms from the previous scheduled report date and time to the current scheduled report. This way, you will not receive a large file of forms that have already been reported before each time it runs.