Bring a large pot of salted water to a boil and cook the whole wheat spaghetti until al dente according to package directions.
While the pasta cooks, dice the chicken breast and pancetta into small, uniform pieces.
Heat the olive oil in a large skillet over medium heat, then add the chicken and pancetta, sautéing until the chicken is cooked through and the pancetta is golden and crispy.
In a small bowl, whisk together the whole egg, egg whites, grated parmesan cheese, and black pepper until well combined.
Reserve 0.25 cup of the starchy pasta water, then drain the noodles and immediately add them to the skillet with the chicken and pancetta.
Remove the skillet from the heat and quickly stir in the egg mixture and reserved pasta water, tossing constantly to create a creamy, velvety sauce without scrambling the eggs.
Season with sea salt and serve immediately while the sauce is warm and silky.