Bring a large pot of water to a boil, add the sea salt, and cook the chickpea spaghetti until al dente according to package instructions.
Reserve 2 tablespoons of the starchy pasta water before draining the noodles.
While the pasta cooks, heat a large non-stick skillet over medium heat and add the diced pancetta, cooking until it becomes crispy and golden.
Add the diced chicken breast to the skillet with the pancetta and sauté for 5-7 minutes until cooked through.
Stir in the minced garlic and baby spinach, cooking for 1 minute until the spinach is just wilted.
In a small bowl, whisk together the egg, Pecorino Romano cheese, and black pepper until smooth.
Turn off the heat for the skillet. Add the cooked pasta and reserved pasta water to the chicken and pancetta mixture.
Slowly pour the egg and cheese mixture over the pasta, tossing rapidly and continuously to create a creamy sauce without scrambling the egg.
Serve immediately while the sauce is warm and glossy.