Not directly, no, there is no way to report this. I don't know how you have your backups setup, is it one server per backup specification, or many servers.
You can run a report over a time period per Backup specification, for example, to check the past 4 days:
omnirpt -report list_sessions -timeframe 96 96 -datalist "name" [output method]
The 96 96 means go back 96 hours from the time you run the report, and report the results of the subsequent 96 hours. The '-datalist "name"' is the backup specification, the " marks are in case there is a 'space' in the name of the backup specification. Once you are able to run the report, and have it look like what you want, you can use the 'Reporting and Notifications' context in the GUI to create the report, and schedule it
I think that I would include the '-tab' argument to use tab-seperated fields that can be imported into Excel
However, from this point, the output needs to be physically examined, or parsed using some different method to obtain what you want