In a small pot, prepare the jasmine rice according to package instructions, substituting one tablespoon of the coconut milk for part of the water.
Heat avocado oil in a large skillet over medium heat and sauté the sliced chicken breast until golden and cooked through.
Remove the chicken from the skillet and set aside, then add the green curry paste to the pan, stirring for one minute until fragrant.
Whisk in the remaining coconut milk, water, fish sauce, and coconut sugar, bringing the mixture to a gentle simmer.
Add the sliced bell peppers and snap peas to the sauce, cooking for 3 to 4 minutes until the vegetables are tender-crisp.
Return the chicken to the skillet, tossing to coat in the creamy curry sauce, and stir in the fresh lime juice.
Serve the green curry over the warm coconut rice and garnish with fresh basil leaves.