Search for Historical Flights by Lat/Lon

Is is possible to issue the following query:
For some time in the past, return all flights that were within a latitude/longitude box.

In other words, it would be the SEARCH query below for some time in the past rather than all currently airborne aircraft:


If not, is there a good workaround in terms of the existing API to achieve the same result?

SearchBirdseyePositions will allow this for approximately the last 24 hours.