Bring a large pot of filtered water to a boil and season with the sea salt.
Add the chickpea spaghetti to the boiling water and cook according to package directions until al dente, adding the frozen peas during the last 2 minutes of boiling.
While the pasta cooks, place the diced pancetta in a large skillet over medium heat and sauté until the fat has rendered and the meat is crispy.
In a small glass bowl, whisk together the whole eggs, egg whites, grated Pecorino Romano, and freshly cracked black pepper until well combined.
Reserve 0.5 cup of the starchy pasta water, then drain the spaghetti and peas.
Turn off the heat under the skillet with the pancetta and add the drained pasta and peas, tossing to coat in the rendered fat.
Slowly whisk 2 tablespoons of the hot pasta water into the egg mixture to temper the eggs, preventing them from scrambling upon contact with the pan.
Pour the egg mixture over the pasta in the skillet and toss vigorously, adding more pasta water a tablespoon at a time as needed, until a silky, creamy sauce forms.