Yes! At the Mexican restaurant my family goes to it also comes with what they call a "quacamole salad", which is basically shredded lettuce, diced tomatoes, and a large blob of quacamole. Makes for a fresh counterpoint to the meaty Chile Verde.
I've lived in many different parts of the US, and it's interesting to see how foods are interpreted differently in various regions. I've lived in Tucson, close enough to the Mexican border we could drive over and eat in Nogales, as well as the Pacific Northwest, the Midwest, and done summer gigs in places in between.
One of my favorite things is trying Chile Rellenos in various places. They're adapatable enough that you never quite get the same thing in any given restaurant, and we make them entirely different at home from our harvest of Poblanos from the garden.