Bring a medium pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente. Reserve 0.25 cup of the starchy pasta water before draining.
While the pasta cooks, add the cubed pancetta to a cold skillet and turn the heat to medium. Sauté until the fat has rendered and the pancetta is golden and crispy.
In a small bowl, whisk together the whole egg, egg whites, grated parmesan cheese, and black pepper until well combined.
Add the diced chicken breast and zucchini noodles to the skillet with the pancetta. Sauté for 3-4 minutes until the chicken is heated through and the zucchini is slightly softened.
Reduce the skillet heat to low. Add the cooked pasta to the skillet and toss to combine with the pancetta and chicken.
Slowly pour the egg mixture over the pasta while constantly tossing with tongs. Add the reserved pasta water 1 tablespoon at a time, stirring vigorously until a silky, creamy sauce forms and coats the noodles. Do not let the eggs scramble.
Season with sea salt to taste and serve immediately in a warm bowl.