In a wok or large skillet, heat the oil until hot enough to quickly stir fry, almost smoking. Add in the chicken, season with salt and pepper and lightly brown on all sides. Once the chicken has lightly browned on all sides, push it to outside edges of the wok or skillet.
Then add in the onion and peppers season with salt and pepper. Saute for 3-4 minutes or until beginning to soften, we want to leave a slight crunch in them, so do not over cook. Add in the broccoli and saute for another 3-5 minutes.
Move everything to side of the pan. Add the garlic and the ginger. Then cook for 1-2 minutes or until fragrant. In a small bowl , whisk together the ingredients for the sauce. You can also shake it up in a mason jar.
Toss everything together in the pan and let it all combine. Add in 3-4 tablespoons of your sauce. Mix together and checking your seasoning. Serve over rice or crispy noodles.