Prepare rice according to package directions. Meanwhile, combine honey, sesame seeds, soy sauce, and garlic together in a small bowl then set aside. In a separate larger bowl, whisk together egg white and cornstarch until smooth. Season chicken pieces with salt and pepper then add to egg white mixture and toss to evenly coat.
In a small saucepan, steam broccoli until crisp tender then set aside.
Heat oil in a large skillet over medium-high heat, then carefully add chicken. Cook for 3-4 minutes a side, or until cooked through. Turn off heat and remove skillet from burner.
Add prepared sauce and green onions then toss to combine. Stir in broccoli, then scoop mixture into bowls over cooked rice.