Heat the remaining oil over medium-high heat in a wok (if you have a gas stove), skillet, or Dutch oven. Add chicken and brown, stirring to cook evenly. Add carrot, celery, and ginger, and stir vigorously for half a minute. Add broccoli and garlic and stir for half a minute. Stir in onion, bell pepper, and peas. Cook, stirring until they are heated through.
Add the rice and cook, stirring until everything is mixed well. Stir in soy sauce to taste. Cook, stirring until everything is heated through.