In a small pot, combine jasmine rice with 0.5 cup water and 1 tbsp of the coconut milk; bring to a boil, then simmer covered for 15 minutes.
While rice cooks, heat coconut oil in a large skillet over medium-high heat.
Season cubed chicken breast with sea salt and black pepper, then sear in the skillet until golden and cooked through.
Remove chicken from the pan and add the minced garlic, ginger, and green curry paste, stirring for 1 minute until aromatic.
Pour in the remaining coconut milk, water, and fish sauce, whisking to combine the curry paste into a smooth sauce.
Add the sliced bell peppers and snap peas to the skillet, simmering for 3-4 minutes until the vegetables are tender-crisp.
Stir the cooked chicken back into the curry sauce to warm through.
Serve the green curry chicken over the fluffy coconut rice.