Heat 1 tablespoon of vegetable oil in a large skillet set over medium heat. Add the chicken, bell pepper, green onion and garlic. Cook and stir until the chicken is cooked through, about 5 minutes. Remove the chicken to a plate and keep warm.
Heat the remaining tablespoon of oil in the same skillet over medium-high heat. Add the rice; cook and stir to heat through. Stir in the soy sauce, rice vinegar and peas, and continue to cook for 1 minute. Return the chicken mixture to the skillet and stir to blend with the rice and heat through before serving.