The QT near my work has signs on the doors about delivery, but I think they're just using one of the food delivery services. I think you have to order through the QT smartphone app.
There is an outfit out there called "Grubhub" that goes to a restaurant/fast food place and picks up food for people who have used their service to order. Sad thing is, Grubhub seems to require that they get priority service, so if someone has been waiting in line for some time, they tend to get ticked off when Grubhub shows up and gets that priority service.