Rinse the jasmine rice under cold water until the water runs clear. Combine the rice with 0.5 cup water and a pinch of sea salt in a small saucepan.
Bring the rice to a boil, then reduce heat to low, cover, and simmer for 15 minutes. Once cooked, remove from heat and let it sit covered for 5 minutes.
While the rice cooks, slice the chicken breast into thin, bite-sized strips.
Heat the avocado oil in a large skillet or wok over medium-high heat. Add the chicken and sauté until golden and cooked through, about 5-6 minutes. Remove the chicken from the pan and set aside.
In the same skillet, add the green curry paste and cook for 1 minute until highly aromatic.
Whisk in the coconut milk, chicken bone broth, fish sauce, and coconut sugar. Bring the liquid to a gentle simmer.
Add the sliced red bell pepper and sugar snap peas to the sauce. Simmer for 3-4 minutes until the vegetables are tender-crisp.
Return the cooked chicken to the skillet, stirring to coat in the sauce and heating through for 1 minute.
Fluff the jasmine rice with a fork. Serve the green curry over the rice and garnish with fresh cilantro and a squeeze of lime.