Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
While pasta cooks, add the diced pancetta to a cold skillet and turn the heat to medium, rendering the fat until the pancetta is golden and crispy.
In a small bowl, whisk together the whole egg, egg whites, and grated Pecorino Romano until well combined and smooth.
Drain the pasta, reserving 0.25 cup of the starchy pasta water.
Add the cooked chicken breast and the hot pasta to the skillet with the pancetta, tossing over low heat to warm the chicken through.
Remove the skillet from the heat and quickly whisk in the egg mixture and reserved pasta water, stirring constantly to create a creamy sauce without scrambling the eggs.
Season with sea salt and plenty of cracked black pepper, then garnish with fresh parsley before serving immediately.