Add the coconut milk, green curry paste, 1/2 cup fresh basil, peeled ginger nub, and sea salt to a blender and blend until smooth and well combined.
Pour the blended sauce into a large skillet with a lid and heat over medium-high until it comes to a gentle full boil.
While the sauce heats, peel and chop the carrots and cut the red bell pepper into matchsticks.
Add the carrots and bell pepper to the skillet and stir to combine with the sauce.
Chop the chicken thighs into bite-sized pieces, then add them to the skillet along with the chicken broth and white rice. Stir once to distribute evenly.
Cover the skillet and bring to a full boil, then reduce the heat to a simmer and cook, covered, for 15 minutes.
Remove the lid, stir in the chopped zucchini, broccoli florets, and chopped chard (if using). Return the lid and cook another 5 to 8 minutes until the vegetables are tender.
Serve the curry hot in bowls garnished with additional fresh basil and lime wedges.