Pat the chicken breast dry with a paper towel and toss in a bowl with cornstarch, sea salt, and black pepper until evenly coated.
Heat the olive oil in a large non-stick skillet over medium-high heat.
Add the chicken to the skillet and cook for 6-8 minutes, turning occasionally, until golden brown and cooked through.
While the chicken cooks, whisk together the honey, tamari, and minced garlic in a small bowl.
Steam the broccoli florets in a steamer basket or microwave with a splash of water until bright green and tender-crisp.
Reduce the skillet heat to low, pour the honey-garlic mixture over the chicken, and toss for 1-2 minutes until the sauce becomes thick and sticky.
Divide the cooked jasmine rice into bowls, top with the glazed chicken and steamed broccoli, and serve immediately.