Rinse the jasmine rice under cold water until the water runs clear to remove excess starch.
In a small saucepan, combine the rice, water, 1 tablespoon of the coconut milk, and sea salt.
Bring the rice to a boil, then reduce heat to low, cover, and simmer for 15 minutes until the liquid is fully absorbed.
While the rice cooks, heat the coconut oil in a large skillet or wok over medium-high heat.
Add the chicken breast pieces to the skillet and sauté until golden brown and cooked through.
Stir in the green curry paste and cook for 1 minute, stirring constantly, until the aroma is released.
Pour in the remaining coconut milk and the chicken broth, bringing the mixture to a gentle simmer.
Add the sliced red bell pepper and sugar snap peas to the pan, cooking for 3 to 4 minutes until they are tender-crisp.
Remove from heat and stir in the fish sauce and lime juice to balance the savory and acidic notes.
Fluff the coconut rice with a fork and serve the green curry over the rice, garnished with fresh Thai basil leaves.