Is there a Way to use Shapes (polygons) to summarize demografic data ?

I am working on a project which requires the definition of "Territories" using polygonal shapes, because they cannot be defined in terms of ZIP Codes or other geografical units, and there seems to be no way to change the definition of ZIP Codes so that we can use them to define our Territories.

Is there a way to produce maps of marketing or demografic data with reference to these "Shapes" as if they where ordinary Mappoint Territories ?