Cook the rice according to package instructions. Fluff with a fork and set aside.
In a small mixing bowl, whisk together soy sauce, honey, brown sugar, minced garlic, minced ginger, rice vinegar, sesame oil, cornstarch, and water until smooth.
Heat a large skillet or wok over medium-high heat. Add oil and cook chicken pieces until browned and cooked through, about 5–7 minutes.
Pour the sticky sauce mixture over the cooked chicken and simmer for 2–3 minutes until the sauce thickens.
Divide rice into serving bowls and add sticky chicken on top. Arrange steamed broccoli, shredded carrots, cucumber slices, and avocado around the chicken.
Garnish with sesame seeds and chopped green onions. Serve immediately.