Yes, if you go to the Social View Settings for the Groups List, you will see there is a Filter By Category option. You enter a CategoryId, and it will only show groups from that category.
There are a number of ways to get the CategoryId for the category you want, but this is probably the easiest way.
Run this in the host SQL menu:
SELECT CategoryName, CategoryId FROM dbo.activesocial_Categories WHERE AvailableToGroups = 'True'