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To my knowledge the options to sort this are somewhat limited only to the fields or searching in the the program itself such as when downloading an excel report. I did some testing just to check to be sure though and I am not really seeing this as being possible if searching the date to find only these submissions per each day other than sorting it in order.
However, you can on the other hand easily do this inside your Submissions Control Panel to see this by adjusting the Time-Date Configuration. Doing it this way will let you view all of the Submissions for the Day or a Specific Date Only.
If you would like I would be more then happy to open up what you meantioned as a Feature Request for Improvements to be added to the Reports.