In the standard config no you cannot.  The simplest option I think would be to create an agent to clear the field in the outofoffice profile document which stores who has been sent an OOO (I think it's called Notified, you'll need to double check) and run it on a weekly schedule.

The Notified_<server name> field in which the names are stored is finite in size (it holds only 'n' number of entries), and, if I recall correctly, is FIFO.  If so, then names that were originally in the Notified_<server name> field are discarded to make room for new names. 

If you have a clustered mail server, then you may see more than one Notified field. Notified_<primary server> would have the majority of entries, but there may be a Notified_<secondary server> with entries in it, too. 

I'd create a Simple Action agent, runtime set to On Event - After new mail has arrived, Action - Reply to Sender, Send reply to Sender only, and build the OoO message.