In a small saucepan, steam broccoli until crisp tender then set aside.
Combine honey, sesame seeds, Tamari, 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.
Heat oil in a large skillet over medium-high heat, then carefully add chicken in one layer. Cook for 3-4 minutes per side, or until cooked through. Turn off heat then remove skillet from burner. Add prepared sauce and green onions then toss to coat. Stir in broccoli then scoop mixture into bowls over cooked rice.