Heat 1 inch of vegetable oil in wok to 425 degrees. Fry the noodles, 1/4 at a time, about 5 seconds or until puffed, turning once; drain on paper towels. Wash and thoroughly dry wok.
Place half of the noodles, the chicken, lettuce, carrot and shoestring potatoes in large bowl; sprinkle with sesame seed.
Mix mayonnaise, sugar, vinegar, hoisin sauce, sesame oil and soy sauce. Pour sauce over chicken and vegetables; top with remaining noodles and green onion. Toss before serving.