not directly as I know.
The timer itself if I recall is mostly client side.
you will then need to write some javascript that will trigger an ajax call for action server side at the defined threshold.
Must not be too complicate to do.
But that say this micro management don't make much sense to me and this manager may rethink the way he want to work there. Not either mentioning that the timer count only in edit mode so analyst can just look to their screen in read mode for hours with no alert to this manager.
Just my 2 cents
/J