Fill a cast iron skillet with 1 to 1½ inches of oil and heat to 350 degrees F / 180 degrees C.
While the oil heats, cut chicken breasts into strips and pat dry with a paper towel.
In a shallow bowl, beat an egg and add salt, pepper and 1 tablespoon of olive oil.
In another bowl, combine flour, baking soda, and cornstarch.
Dip chicken strips into the egg mixture, then roll in the flour mixture until coated.
Fry the chicken strips in hot oil for 6-7 minutes or until golden or light brown. Cook to an internal temperature of 165 degrees F / 74 degrees C. Drain on paper towels.
In a separate pan, fry the strips of pepper and green beans in olive oil for 5 minutes or until tender, stirring occasionally.
In a saucepan, mix the ingredients for the sauce. Bring to a boil while stirring with a spatula or a whisk until smooth and thick.
Toss the chicken with the vegetables and the sauce and heat everything together for 2-3 minutes.
Garnish with sesame seeds and chopped green onions. Serve hot.