Rinse the jasmine rice under cold water until the water runs clear.
In a small saucepan, combine the jasmine rice, 0.5 cup of water, 1 tablespoon of the coconut milk, and a pinch of sea salt. Bring to a boil, then reduce heat to low, cover, and simmer for 15 minutes.
While the rice cooks, season the sliced chicken breast with the remaining sea salt and black pepper.
Heat the avocado oil in a large skillet over medium-high heat. Add the chicken and sear until golden brown and cooked through, about 6-8 minutes. Remove chicken from the pan and set aside.
In the same skillet, add the green curry paste and cook for 1 minute until fragrant.
Whisk in the remaining 2 tablespoons of coconut milk and 0.25 cup of water to create a creamy sauce.
Add the sliced red bell pepper and snap peas to the skillet. Simmer for 3-4 minutes until the vegetables are tender-crisp.
Return the cooked chicken to the skillet. Stir in the fish sauce and coconut aminos, simmering for 1-2 minutes to combine flavors.
Remove from heat and stir in the fresh basil leaves until just wilted.
Fluff the coconut rice with a fork and serve the green curry chicken over the top.