Bring a pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
While pasta cooks, whisk the egg, egg whites, parmesan cheese, and black pepper in a small bowl until well combined.
In a large skillet over medium heat, sauté the diced pancetta until it becomes crispy and golden brown.
Add the diced chicken breast and minced garlic to the skillet, cooking until the chicken is golden and cooked through.
Reserve 0.25 cup of pasta water, then drain the pasta and add it directly to the skillet with the chicken and pancetta.
Add the fresh spinach to the skillet and toss until it begins to wilt from the residual heat.
Remove the skillet from the heat and quickly stir in the egg mixture and reserved pasta water, tossing constantly to create a silky sauce.
Season with sea salt and serve immediately while the sauce is creamy and warm.