1. Combine cumin, salt, and red pepper in a small bowl. Brush chicken breasts with oil. Rub brushed chicken breasts with cumin mixture. Place each breast half between 2 pieces of plastic wrap; gently pound with a meat mallet to 1/2 inch thickness.
2. Place chicken on the lightly oiled rack of an uncovered grill directly over medium-high heat. Grill for 6 to 8 minutes or until an instant-read thermometer registers 170 degree F and juices run clear, turning once. Remove chicken; set aside until cool enough to handle. Meanwhile, if using purchased taco shells heat shells according to the package directions.
3. Cut chicken into thin strips and arrange in taco shells. Top with lettuce and cheese. Toss together chopped kiwifruit, tomato, and lime or lemon juice in a small bowl. Sprinkle atop tacos. Makes 6 tacos.