Rinse the jasmine rice under cold water until the water runs clear; combine with 2 cups water and 3/4 teaspoon salt in a medium pot.
Bring rice to a boil, reduce heat to low, cover, and simmer for about 15 minutes until the water is absorbed and rice is fluffy; remove from heat.
Pat chicken pieces completely dry with paper towels to help the seasoning adhere.
In a small bowl, mix sugar, paprika, cumin, garlic powder, salt, and black pepper; rub evenly over both sides of each chicken piece.
Brush or drizzle a sheet pan with olive oil, then arrange the seasoned chicken pieces with space between them.
Bake the chicken at 400°F for 20 to 25 minutes, or until the internal temperature reaches 165°F.
While the chicken bakes, bring water to a boil in a pot fitted with a steamer basket; steam broccoli florets for 4 to 5 minutes until bright green and tender-crisp.
Remove rice, chicken, and broccoli from heat and cool all components on the counter for 30 to 45 minutes to avoid condensation in containers.
Fluff the rice with a fork and divide evenly among five meal prep containers as the base layer.
Slice each chicken piece and add one portion of chicken to each container.
Top each container with an equal amount of steamed broccoli florets.
Seal containers with airtight lids and label with today’s date using a permanent marker.
Refrigerate immediately after labeling; consume within 5 days.
For serving, microwave on high for about 90 seconds with 1 tablespoon water; stir halfway and ensure food reaches 165°F before eating.