Rinse the jasmine rice under cold water. In a small saucepan, combine the rice, 0.5 cup water, 1 tbsp coconut milk, and a pinch of the sea salt.
Bring the rice to a boil, then reduce heat to low, cover, and simmer for 15 minutes until fluffy.
While rice cooks, slice the chicken breast into thin bite-sized strips and season with the remaining sea salt and black pepper.
Heat coconut oil in a large skillet over medium-high heat. Add the chicken and sear until golden brown on all sides.
Push chicken to the side and add green curry paste to the center of the pan. Stir for 1 minute until the aroma is released.
Pour in the remaining 1 tbsp coconut milk, fish sauce, and coconut sugar, stirring to combine with the curry paste.
Add the red bell pepper, sugar snap peas, and canned bamboo shoots to the skillet.
Lower heat to medium and simmer for 5-7 minutes until the vegetables are tender-crisp and chicken is cooked through.
Squeeze the lime over the curry and stir in fresh cilantro.
Serve the aromatic green curry over the warm coconut rice.