Rinse the jasmine rice under cold water until the water runs clear to remove excess starch.
In a small saucepan, combine the rice with 0.5 cup of water, 1.5 tablespoons of coconut milk, and a pinch of sea salt.
Bring the rice to a boil, then reduce the heat to low, cover with a tight lid, and simmer for 15 minutes until fluffy.
While the rice cooks, slice the chicken breast into thin, bite-sized strips and season with sea salt and black pepper.
Heat the avocado oil in a large skillet over medium-high heat and sear the chicken strips for 2 minutes per side until golden.
Push the chicken to the edges of the pan, add the green curry paste to the center, and toast for 1 minute until fragrant.
Whisk in the remaining 0.5 cup of water, 1.5 tablespoons of coconut milk, fish sauce, and coconut sugar until the sauce is smooth.
Add the sliced red bell peppers and snap peas to the skillet, then simmer for 5 minutes until the vegetables are tender-crisp.
Remove the skillet from the heat, stir in the fresh basil leaves, and serve the curry immediately over the warm coconut rice.