You could probably do something like this in the normal landesk reporting engine, but unfortunately there wouldn't be an easy way to do that with ERP. I'd suggest to move your question to the reporting section in the community. Also you could contact our Professional Services team who could put a custom report like that together for you.
Well if your using Software Distribution to patch you can tell when a Scheduled Task last run by going to Inventory Computer | Landesk Management | Software Distribution but it doesn't say who did it. But depending on which version of LDMS your running they now have the Audit function: http://help.landesk.com/Topic/Index/ENU/LDMS/9.5/Content/Windows/audit_t_config.htm