Heat oven to 375°F. Spray 9-inch glass pie plate with cooking spray. Cook rice in water as directed on package. Pat cooked rice evenly in bottom of pie plate. In 12-inch nonstick skillet, heat 1 tablespoon of the oil over medium-high heat. Add chicken; cook and stir until no longer pink in center. Remove chicken from skillet.
Heat remaining 1 tablespoon oil in skillet. Add bell pepper, onion and zucchini; cook and stir until crisp-tender. In small bowl, mix soup mix and milk; stir into vegetable mixture. Heat to boiling over high heat. Remove from heat; stir in chicken (discard chicken juices). Spoon over rice in pie plate.
Unroll dough on work surface; cut lengthwise into 8 strips. Arrange 4 strips evenly in same direction over filling. Top with remaining strips in opposite direction. Fold overhanging ends of strips at an angle around edge of pie plate to form rim.
Bake about 20 minutes. Let stand 5 minutes before serving.