Bring a large pot of water to a boil and season with the sea salt.
Add the chickpea spaghetti and cook until al dente according to package instructions, usually 7-8 minutes.
While the pasta cooks, place the diced pancetta in a cold skillet and turn the heat to medium.
Sauté the pancetta until the fat has rendered and the meat is golden and crispy, then turn off the heat.
In a small bowl, whisk together the whole egg, egg whites, grated Pecorino Romano, and freshly cracked black pepper until well combined.
Before draining the pasta, reserve approximately 0.25 cup of the starchy pasta water.
Drain the pasta and immediately add it to the skillet with the pancetta, tossing to coat the noodles in the rendered fat.
Slowly whisk 2 tablespoons of the hot pasta water into the egg mixture to temper the eggs so they do not scramble.
Pour the egg and cheese mixture over the pasta while continuously tossing with tongs, adding more pasta water as needed to create a smooth, glossy sauce.
Serve immediately in a warm bowl with an extra dusting of black pepper.