Rinse the jasmine rice thoroughly and combine with 0.4 cups water and 1 tablespoon of the coconut milk in a small pot; bring to a boil, then reduce heat to low and simmer covered for 15 minutes.
While the rice cooks, heat the coconut oil in a large skillet over medium-high heat.
Add the sliced chicken breast to the skillet and sear until golden brown and cooked through, then remove the chicken from the pan and set aside.
In the same skillet, add the red bell pepper, sugar snap peas, ginger, and garlic, sautéing for 3-4 minutes until the vegetables are tender-crisp.
Stir in the red curry paste and cook for 1 minute until the aromatics are fragrant and toasted.
Pour in the remaining 2 tablespoons of coconut milk, water, tamari, and fish sauce, whisking to combine the sauce components.
Return the chicken to the skillet and simmer in the sauce for 3-5 minutes until the liquid reduces slightly and coats the chicken.
Finish the curry with a squeeze of fresh lime juice and serve immediately over the warm, fluffy coconut rice.