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 together the whole egg, egg whites, and grated parmesan cheese in a small bowl until well combined.
In a large skillet over medium heat, sauté the diced pancetta until it becomes crispy and the fat has rendered.
Add the minced garlic to the skillet with the pancetta and cook for 30 seconds until fragrant, then stir in the frozen peas to warm through.
Reserve 0.25 cup of the starchy pasta water, then drain the pasta and add it directly to the skillet with the pancetta, removing the pan from the heat.
Quickly pour the egg mixture over the warm pasta, tossing constantly and adding splashes of reserved pasta water to create a smooth, creamy sauce.
Season the carbonara with freshly cracked black pepper and a pinch of sea salt before serving immediately.