Stir together in a medium size bowl, the coconut aminos, maple syrup, brown sugar, garlic powder, ginger, salt and pepper. Pour ½ cup of the marinade into a small bowl to use for the sauce to top the stir fry. Add 1 tablespoon of cornstarch to the bowl of sauce and stir in completely. Set aside. This will be added to your skillet as the final step.
To the marinade bowl, add ½ tablespoon of cornstarch. Add the chicken pieces and marinade for 30-45 minutes.
Begin by setting a large skillet, a cast iron skillet if you have it, on high heat with 1 tablespoon of olive oil. Add the onion and bell pepper pieces to the skillet, stir and sauté until light golden and cooked. Remove to a small plate or bowl.
Microwave the broccoli pieces in a small covered bowl with a few tablespoons of water for 2 minutes on high, to par-cook.
In another tablespoon of olive oil, add the zucchini pieces. Stir to coat with the oil. Sauté the zucchini until browned and cooked through. Remove to the bowl. Add ½ tablespoon of olive oil if needed in the pan. Add the drained par-cooked broccoli to the skillet and stir fry until lightly browned. Remove to a small bowl or small plate.
Add ½ tablespoon of olive oil to the skillet and heat on high. Drain the chicken from the marinade and discard the marinade. Add half the chicken pieces to the skillet and cook and brown for 3-5 minutes, browning and cooking completely, stirring and turning often, and turning the heat down to medium if sugar is causing it to burn. Remove the chicken to a bowl. You may need to scrap out the skillet before adding the second half of chicken pieces to the skillet to cook. Heat the pan back up with ½ tablespoon of olive oil. Cook the next batch of chicken over medium high or high heat until cooked through.
Lower the heat to medium. Add the first batch of chicken back into the skillet. Next, add the vegetables back in to the skillet. Finally, add the sauce you reserved and cook over medium heat, stirring to coat the chicken and vegetables until the sauce thickens about 1 or 2 minutes. Serve over brown or white rice.