Bring a large pot of salted water to a boil and cook the chickpea spaghetti according to package directions until al dente.
While the pasta cooks, whisk the whole egg, egg whites, and grated Pecorino Romano in a small bowl until well combined.
In a large skillet over medium heat, sauté the diced pancetta until it becomes golden and crispy.
Add the minced garlic to the skillet with the pancetta and sauté for 30 seconds until fragrant.
Reserve 0.25 cup of the starchy pasta water, then drain the spaghetti and add it to the skillet along with the zucchini noodles.
Remove the skillet from the heat immediately to ensure the eggs create a sauce rather than scrambling.
Pour the egg and cheese mixture over the pasta, tossing rapidly with tongs while adding small splashes of reserved pasta water until a creamy consistency is achieved.
Season the dish with plenty of freshly cracked black pepper and a pinch of sea salt before serving immediately.