You want to know who among your ListManager Listserv Administrators is accessing the reporting modules to get deliverability or clickthrough statistics and you would like to know if this is possible.
The Web Access Log provides details on what pages your Members and Administrators are accessing. Navigate to Utilities > Administration > Server > Web Access Log and search for "reports".
When someone navigates to Reports > Mailings > Mailing Overview, the Web Access Log will record the URL as:
When someone accesses a clickthrough report for a particular mailing the Web Access Log will record the URL as: