Heat the oil in a large pan over medium high heat. Season the chicken with salt and pepper to taste.
Add the chicken to the pan in a single layer and cook until browned. You may need to work in batches.
Add the ginger to the chicken and cook for 30 seconds more.
Place the chicken mixture on a plate and cover with foil to keep warm.
Add the zucchini and red bell pepper to the pan and cook for 3-4 minutes or until softened. Add the chicken back to the pan with the vegetables.
In a bowl whisk together the chicken broth, honey and soy sauce.
In a small bowl mix the cornstarch with a tablespoon of cold water.
Pour the chicken broth mixture over the chicken and vegetables; cook for 30 seconds.
Add the cornstarch and bring to a boil; cook for 1 more minute or until sauce has just started to thicken.
Sprinkle with green onions and serve.