In large nonstick skillet heat 1 tablespoon cooking oil over medium-high. Add chicken, half the ginger, and soy sauce. Brown chicken on all sides. Add 1/2 cup water. Cook, covered, 15 minutes or until no pink remains in chicken.
In covered microwave-safe dish place carrots, remaining ginger, and 2 tablespoons water. Cook on HIGH 4 minutes. Add rice, peas, pepper. Cook, covered, 5 minutes; stir twice.