Add pancetta to a large soup pot. Cook over medium heat for 5 minutes, or until fat begins to render. Add onions; cook until just softened, 3-5 minutes. Add water, carrot, potato, and beans. Simmer over low heat until potatoes are soft, about 20 minutes. Add the green beans, zucchini, and pasta; simmer until the pasta is tender, 10-15 minutes.

While the soup cooks, make the pesto: Using a chef's knife or food processor, chop the basil, garlic, parmesan, and pine nuts until a smooth paste forms. Transfer to a bowl and drizzle in the olive oil.

Stir the pesto into the soup. Season to taste with salt and pepper. Let rest 5 minutes before serving.