The Share My Work ability allows you to designate another user to conduct your actions when you select that user. Your work items appear in that users work items until you issue the "Stop Sharing" action.
Can this acitivity be scheduled with a start and stop date and time? When you select select "Share My Work" and select the user a follow on option to select a start date and time and stop date and time would be available. This ability would be turned on/off through the use a a property value.