In a small bowl, combine the soy sauce, honey, rice vinegar, and fish sauce. Set aside.
Heat half of the oil in a large skillet over medium-high heat. Once oil is shimmering, add the broccoli and cook, stirring occasionally, for 5 minutes. Add the rest of the oil and the pork and let cook until golden brown, 2 to 3 minutes. Push the pork and broccoli to one side and add in the eggs, and stir to scramble. Once the eggs are scrambled, combine everything together in the skillet. Pour the mixture into a bowl and set aside.
Add the zucchini noodles to the pan and toss for 3-5 minutes to cook to your preference. If needed, drain the noodles in a colander and then return to the pan. Add the pork, eggs, and broccoli back to the pan with the zoodles and add the prepared sauce and toss well to combine. Divide into bowls. Serve.