Rinse rice until water runs clear; combine with coconut milk and water in a medium pot. Boil, reduce heat to low, cover, and simmer 15 minutes until tender and liquid absorbed.
Meanwhile, pat salmon dry with paper towels; season both sides with salt and pepper.
Whisk soy sauce, 1 tablespoon sesame oil, ginger, garlic, and honey in a small bowl.
Heat remaining 1 tablespoon oil in a large skillet over medium-high; cook salmon skin-side up 4 minutes.
Flip; brush with half the glaze and cook another 4-5 minutes until easily flaked with fork.
Fluff rice with fork; divide among four bowls. Top each with spinach, carrots, and salmon.
Drizzle with remaining glaze; garnish with green onions and sesame seeds. Serve.