Cut the chicken breasts into bite-sized pieces. Place them in a mixing bowl.
In a separate bowl, whisk together the eggs. Dip the chicken pieces into the egg, then coat them with cornstarch. Shake off any excess cornstarch.
Heat the vegetable oil in a wok or large frying pan over medium-high heat. Add the chicken pieces in batches, frying until golden brown and cooked through, about 3-4 minutes per side. Remove the chicken and set it aside on a paper towel-lined plate to drain excess oil.
In the same pan, reduce the heat to medium and add minced garlic and ginger. Sauté for 30 seconds until fragrant.
In a small bowl, mix honey, soy sauce, rice vinegar, and sesame oil. Pour this mixture into the pan and bring it to a simmer.
Add the fried chicken back into the pan, tossing to coat the chicken evenly in the sauce. Cook for an additional 2-3 minutes until the sauce thickens slightly.
Sprinkle sesame seeds over the chicken and stir well. Remove from heat.
Serve hot, garnished with chopped green onions, over steamed rice or noodles.