Rinse the jasmine rice under cold water until the water runs clear.
In a small saucepan, combine the rice with 0.5 cup water, 1 tablespoon of the coconut milk, and sea salt; bring to a boil, then cover and simmer on low for 15 minutes.
Slice the chicken breast into thin, bite-sized strips while the rice cooks.
Heat coconut oil in a large skillet over medium-high heat and sear the chicken until golden and cooked through.
Add the green curry paste to the skillet and sauté for 1 minute until fragrant.
Pour the remaining coconut milk into the skillet along with the sliced red bell pepper and sugar snap peas.
Simmer the mixture for 5-7 minutes until the vegetables are tender-crisp and the sauce has thickened.
Stir in the fish sauce, coconut sugar, and lime juice to brighten and balance the flavors.
Serve the aromatic curry over the fluffy coconut rice and garnish with fresh Thai basil.