Is there any way to report / audit on deleted element entries when we do not use HCM Global Payroll?

Summary:

We had 4 element entries that were fed to our ADP Payroll mid-January that were the incorrect element entry for these associates. Instead of end-dating the element, the associate deleted the incorrect element for these four associates. We have an element entries report, but when I ran it for the time of when these elements were created, these elements weren't on the report. I also created an analysis from Reports and Analysis tile and was unsuccessfully in reporting on the deleted elements. I do not have the Manage Audit Policies access either, but i'm not sure if that would work