Bring 2 cups water to a boil in a medium saucepan, stir in jasmine rice and 3/4 teaspoon salt, cover, reduce to low, and simmer for 15 minutes until water is absorbed.
While rice cooks, mix sugar, paprika, cumin, garlic powder, salt, and pepper in a small bowl. Rub the spice blend all over the chicken pieces to coat evenly.
Heat olive oil in a large skillet over medium-high heat. Add chicken and cook 6–7 minutes per side until the internal temperature reaches 165°F.
Meanwhile, bring water to a boil in a separate pot fitted with a steamer basket. Add broccoli florets and steam for 3 minutes until bright green and crisp-tender.
Spread cooked rice, chicken, and broccoli on sheet pans and let cool at room temperature for at least 20 minutes to prevent condensation and bacterial growth.
Portion cooled rice, chicken, and broccoli evenly into 4 glass meal prep containers. Label each container with the prep date.
Refrigerate immediately once containers are at room temperature. Use within 5 days. Reheat to an internal temperature of 165°F before eating.