Bring a pot of water to a boil and cook the chickpea spaghetti until al dente, reserving 0.25 cup of the cooking water before draining.
Place the diced pancetta in a cold skillet and turn the heat to medium, cooking until the fat has rendered and the meat is crispy.
Add the diced chicken breast to the skillet with the pancetta, seasoning with sea salt and black pepper, and sauté until golden and cooked through.
Stir in the minced garlic and zucchini noodles, cooking for 2 minutes until the zucchini is slightly softened but still firm.
In a small bowl, whisk together the egg and grated parmesan cheese until the mixture is smooth and well combined.
Remove the skillet from the heat, add the cooked pasta, and quickly pour in the egg mixture while tossing constantly to create a creamy sauce.
Gradually add the reserved pasta water one tablespoon at a time until the sauce reaches a smooth, velvety consistency.