engineering question

I'm looking for guidance on whether I can add support to exterior footings of an 11x31 pergola to eliminate the need for interior footings. The pergola will be attached to a building, on one 31' side and has 4 support legs on the unattached 31' side. We are able to create the footings for the exterior 2 legs, but to create footings for the interior 2 legs would damage an existing new patio. We were told we could increase the load bearing capacity of the footings for the exterior legs to eliminate the need for footings for the interior legs. Is this possible? If so, what would we need?