Cut the chicken into bite sized pieces and set aside. Rinse the broccoli florets and drain well.
In a medium sized bowl, combine the sugar free honey, coconut aminos, oil, orange juice, minced garlic, grated ginger, sugar free ketchup, sesame seeds, salt, and pepper. Stir until fully combined, then set aside.
Place the broccoli in a steamer basket and steam for 10 to 12 minutes until tender. If a steamer basket is not available, steam the broccoli in a pot of boiling water for 7 to 10 minutes. Drain and set aside.
Heat 2 tablespoons of oil in a large skillet over medium high heat. Season the chicken with salt and black pepper and mix to coat evenly. Add the chicken to the skillet and cook for 5 to 7 minutes, stirring occasionally, until golden brown and fully cooked.
Pour half of the sauce over the chicken and cook for 6 to 7 minutes, allowing it to simmer and reduce slightly. Add the remaining sauce and cook for another 3 to 4 minutes, then turn off the heat.
Add the steamed broccoli to the skillet and stir gently to combine. Taste and adjust with additional salt and pepper if needed. Add more sesame seeds if desired, squeeze fresh lemon juice over the top, and finish with chopped green onion before serving.