Season chicken cubes with salt and black pepper. Heat 1 tablespoon olive oil in a wok or large skillet over medium-high heat.
Add chicken in a single layer and cook 6–7 minutes, stirring occasionally, until browned and cooked through. Transfer to a plate.
Add remaining 1 tablespoon olive oil to the wok. Stir-fry broccoli, bell peppers, and carrots 4–5 minutes until tender-crisp.
Whisk cornstarch with cold water until smooth. Whisk in chicken broth, soy sauce, honey, sesame oil, and red pepper flakes to make the sauce.
Return chicken to the wok with vegetables. Add minced ginger and garlic; stir for about 30 seconds until fragrant.
Pour in the sauce and bring to a gentle boil. Reduce heat and simmer 2–3 minutes, stirring, until the sauce thickens and coats the stir fry.
Remove from heat and let cool 10–15 minutes to reduce condensation before packing.
Divide evenly among five airtight glass containers. Store any rice (brown or cauliflower) in a separate compartment or container to prevent sogginess. Label with the prep date.