Slice the chicken breast into thin, bite-sized strips and season with sea salt and black pepper.
In a small bowl, mix the cooked jasmine rice with 1 tablespoon of the coconut milk until the rice is creamy and well-coated.
Heat the coconut oil in a large skillet or wok over medium-high heat.
Add the chicken strips to the skillet and sauté for 4-5 minutes until golden and cooked through, then remove the chicken 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, fish sauce, and coconut sugar, stirring until the sauce is smooth.
Add the sliced red bell pepper and sugar snap peas to the sauce, simmering for 3 minutes until the vegetables are tender-crisp.
Return the chicken to the skillet and toss to coat in the green curry sauce.
Remove from heat and stir in the lime juice and fresh cilantro.
Serve the green curry chicken immediately over the prepared coconut rice.