It does, because it's literally the same. A fast food service still rolls out the dough, adds the tomato sauce, cheese and other ingredients and throws it into the oven for a few minutes. The only difference is that a big delivery service that specializes on pizzas is that they prepare much larger quantities beforehand, as they can expect to use much more than a restaurant.
But since you're such a fan of Wikipedia, you might want to read the fast food article proper:
Examples of fast food (left to right, top to bottom): Cheeseburger, soft drink, french fries, pizza margherita, hot dog, fried chicken, submarine sandwich, and donuts.
The UK has adopted fast food from other cultures as well, such as pizza, doner kebab, and curry. More recently, healthier alternatives to conventional fast food have also emerged.
Common menu items at fast food outlets include fish and chips, sandwiches, pitas, hamburgers, fried chicken, french fries, onion rings, chicken nuggets, tacos, pizza, hot dogs, and ice cream, though many fast food restaurants offer "slower" foods like chili, mashed potatoes, and salads.