Mix the cooked jasmine rice with one tablespoon of the coconut milk in a small bowl to create a rich, aromatic base.
Heat the coconut oil in a large skillet over medium-high heat.
Add the sliced chicken breast and sauté until golden and fully cooked, then set aside on a plate.
In the same skillet, add the green curry paste and stir-fry for one minute to release the aromatics.
Pour in the remaining coconut milk, water, fish sauce, and coconut sugar, whisking until the sauce is uniform.
Add the red bell peppers and sugar snap peas, simmering for three minutes until the vegetables are tender-crisp.
Return the chicken to the skillet, stirring to coat every piece in the vibrant green curry sauce.
Divide the coconut rice into bowls and top with the chicken curry, finishing with fresh cilantro and a lime wedge.