I suppose that it is possible but the trend among all of the major pizza chains is to go to off-site manufactured doughs that use a lot of additives. I was in a Trader Joe's and a Stop and Shop a few months ago and even they have gone to doughs that contain a lot of additives. Previously, the doughs were made only of flour, water, salt, yeast and maybe oil. I believe that Sbarro is one of the few majors who still make doughs in their stores using basic ingredients.
In Domino's case, if you go to their website and look at the ingredients section, the heading reads as follows:
NATURE'S TASTY LITTLE BUILDING BLOCKS
Keep reading. We're about to divulge our oldest secret to success and the key to a delicious meal: Really good ingredients.
Then, in the following section, the ingredients for their hand-tossed dough reads as follows:
HAND TOSSED CRUST
Enriched Flour (Wheat Flour, Iron, Thiamine Mononitrate, Niacin, Riboflavin, Folic Acid) Water, Vegetable Oil (Soybean), Sugar, Salt, Yeast, Vital Wheat Gluten, Less than 1% Dough Conditioners [Sodium Stearoyl Lactylate, Whey, Enzyme (with Wheat Starch), Ascorbic Acid, L-cysteine, and Silicon Dioxide added as processing aid], Corn Meal (used in preparation)
I guess these are "nature's tasty little building blocks" and "really good ingredients".