Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
While the pasta cooks, whisk the whole egg, egg whites, and grated parmesan together in a small bowl until the mixture is smooth.
In a large skillet over medium heat, sauté the diced pancetta until the fat renders and it becomes crispy.
Add the diced chicken breast to the skillet with the pancetta and cook until the chicken is golden brown and cooked through.
Stir in the minced garlic and zucchini ribbons, sautéing for 1-2 minutes until the zucchini is just slightly softened.
Reserve 0.25 cup of the starchy pasta water, then drain the pasta and add it directly to the skillet with the chicken and pancetta.
Remove the skillet from the heat entirely to ensure the eggs create a sauce rather than scrambling.
Quickly pour in the egg mixture and the reserved pasta water, tossing the noodles constantly until a creamy, silky sauce forms and coats the pasta.
Season with sea salt and black pepper, then serve immediately while warm.