Bring a large pot of salted water to a boil and cook the whole wheat spaghetti according to package directions until al dente.
While the pasta cooks, finely dice the chicken breast and pancetta into small, uniform pieces.
In a large skillet over medium heat, sauté the pancetta until the fat begins to render and it becomes golden and crispy.
Add the diced chicken breast and minced garlic to the skillet, cooking until the chicken is fully cooked through and slightly browned.
In a small bowl, whisk together the whole egg, egg whites, parmesan cheese, and black pepper until the mixture is smooth.
Reserve 0.25 cup of the starchy pasta water, then drain the spaghetti thoroughly.
Turn off the heat on the skillet and add the hot pasta, tossing it immediately with the pancetta and chicken.
Quickly pour in the egg mixture and the reserved pasta water, tossing constantly for 60 seconds until the sauce thickens into a creamy glaze.
Season with sea salt and serve immediately while the sauce is warm and velvety.