Heat oil in a large skillet over medium-high heat. Add chicken and cook for 5–7 minutes, until browned and cooked through. Remove and set aside.
In the same pan, add broccoli and cook for 3–4 minutes until tender-crisp. Add a splash of water and cover briefly if needed to soften.
In a bowl, whisk together the soy sauce, honey, brown sugar, garlic, ginger, rice vinegar and sesame oil. Pour sauce into the skillet and bring to a simmer.
Stir in the cornstarch slurry and cook for 1–2 minutes until the sauce thickens.
Return chicken to the skillet and toss with the sauce and broccoli until evenly coated and heated through.
Spoon rice into bowls and top with chicken and broccoli. Sprinkle with sesame seeds, green onions, and sliced chilies. Serve warm.