In a small bowl, whisk together the tamari, honey, grated fresh ginger, minced garlic, and sesame oil to create the teriyaki glaze.
Cut the chicken breast, red bell pepper, and red onion into 1-inch chunks; thread them onto wooden or metal skewers, alternating ingredients.
Rinse the jasmine rice under cold water until clear, then combine it in a small pot with 0.5 cup water and the coconut milk.
Bring the rice to a boil, then reduce heat to low, cover, and simmer for 15 minutes until the liquid is absorbed and the rice is fluffy.
Brush the skewers with avocado oil and season lightly with sea salt and black pepper.
Heat a grill pan or outdoor grill over medium-high heat and cook the skewers for 4-5 minutes per side until the chicken is cooked through.
During the last 2 minutes of grilling, generously brush the skewers with the teriyaki glaze until it becomes sticky and caramelized.
Serve the skewers over the warm coconut rice, drizzling any remaining glaze over the top.