Preheat oven to 350°F. Prepare an 8x11 baking dish with cooking spray and set aside.
In a small saucepan, whisk together all sauce ingredients: 1 cup water, ⅓ cup soy sauce, 1 teaspoon freshly grated ginger, 2 cloves minced garlic, 4 Tablespoons brown sugar, 1 Tablespoon honey, 2 Tablespoons cornstarch dissolved in ¼ cup of water. Cook over medium high heat. Continue stirring until sauce thickens, about 10 minutes. Remove from heat.
Place chicken breast in prepared 8X11 baking dish.. Pour teriyaki sauce over the chicken, reserving 2 Tablespoons.
Bake on center rack in the oven for 35 minutes until chicken is cooked through.
Remove from oven and shred chicken with two forks.
Add thawed vegetables, edamame, and rice to the dish. Stir until fully combined.
Drizzle remaining 2 Tablespoons teriyaki sauce over the top of the casserole, and bake for 15 more minutes.