Bring a large pot of water to a boil, add a pinch of sea salt, and cook the chickpea spaghetti until al dente according to package directions.
While the pasta cooks, whisk the whole egg, egg whites, and grated Pecorino Romano in a small bowl until the mixture is uniform and smooth.
Place a large skillet over medium heat and sauté the diced pancetta until the fat has rendered and the pieces are golden and crispy.
Reserve approximately 0.25 cup of the starchy pasta cooking water before draining the noodles.
Add the drained pasta directly into the skillet with the pancetta and toss to coat the strands in the rendered fat.
Remove the skillet from the heat immediately to ensure the eggs do not scramble upon contact.
Slowly whisk one tablespoon of the hot pasta water into the egg mixture to temper it, then pour the mixture over the pasta.
Toss the pasta vigorously and continuously, adding more pasta water a teaspoon at a time, until a glossy, creamy sauce forms and coats every noodle.
Finish with a generous amount of freshly cracked black pepper and the remaining sea salt before serving immediately.