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, sauté the diced pancetta in a large skillet over medium heat until golden and crispy.
Add the minced garlic to the skillet with the pancetta and cook for 30 seconds until fragrant, then remove from heat.
In a small bowl, whisk together the whole egg, egg whites, grated parmesan, and black pepper until smooth.
Reserve 0.25 cup of pasta water, then drain the pasta and immediately add it to the skillet with the pancetta.
Stir in the fresh spinach until it begins to wilt from the residual heat of the pasta.
Pour the egg mixture over the pasta, tossing constantly and adding reserved pasta water as needed to create a creamy, glossy sauce.