Bring a large pot of water to a boil and season with the sea salt.
Add the chickpea spaghetti to the boiling water and cook until al dente, approximately 7 to 8 minutes.
While the pasta cooks, place the diced pancetta in a large skillet over medium heat and sauté until the fat renders and the meat is golden and crispy.
In a small mixing bowl, whisk together the whole egg, egg whites, grated Pecorino Romano, and black pepper until the mixture is smooth.
Carefully reserve 0.25 cup of the starchy pasta cooking water before draining the spaghetti.
Turn off the heat under the skillet containing the pancetta and add the drained pasta, tossing it thoroughly to coat every strand in the rendered fat.
Slowly whisk one tablespoon of the hot pasta water into the egg and cheese mixture to temper the eggs, preventing them from scrambling.
Pour the egg mixture over the pasta in the skillet and toss vigorously off the heat until the sauce emulsifies into a creamy coating, adding more pasta water if needed for consistency.
Garnish the carbonara with chopped fresh parsley and serve immediately while hot.