Rinse the jasmine rice under cold water until the water runs clear.
In a medium saucepan, combine the rice and water. Bring to a boil, then reduce heat to low, cover, and simmer for 15 minutes or until the rice is tender and the water is absorbed.
Remove from heat and let it sit covered for 5 minutes. Fluff with a fork.
While the rice is cooking, in a bowl, mix together soy sauce, fish sauce, honey, vegetable oil, garlic powder, and ground ginger.
Add the chicken thighs to the marinade, ensuring they are well coated. Let them marinate for at least 15 minutes (or up to 2 hours in the refrigerator for more flavor).
Heat a grill pan or skillet over medium-high heat. Remove the chicken from the marinade and cook for 5-7 minutes on each side, or until the internal temperature reaches 165°F.
Remove from heat and let rest for 5 minutes before slicing.
To assemble the bowls, divide the cooked rice among four bowls. Top with sliced chicken, cucumber, shredded carrots, red cabbage, cilantro, green onions, and jalapeño if using.
Serve with lime wedges on the side for squeezing over the top.