Generally, no.
Their license does not grant them the ability to design buildings. As such, that means that they are limited to buildings that do not require a license to design. This would typically include trellises, unoccupied support structures like sheds or equipment garages, and lastly houses. Most jurisdictions will require any structural portions to be designed by a civil or structural engineer or an architect.
So can they design buildings? Yes, but just to the same extent that any person can.
MKDesign 