In a large Dutch oven, heat 1 tablespoon of the coconut oil over a high flame. Rinse the shrimp and pat dry. Stir-fry the shrimp until pink and curled, 2 minutes. Season with salt and remove to a plate. Set aside.
Add the bok choy to the pot and cook until lightly browned and the greens are wilted, 5 minutes. Remove to the plate with the shrimp.
Heat the remaining oil and sauté the red pepper, ginger, garlic, red curry paste, turmeric, and 1 teaspoon sea salt until very fragrant, 2 minutes. Stir in the pumpkin, coconut milk, and green beans. Bring to gentle simmer and cook over medium-low heat until the beans are tender and the sauce has thickened, 5 to 7 minutes. Remove from the heat and stir in the herbs, lime juice, bok choy, and shrimp.
Ladle the Thai pumpkin curry into bowls, garnish with peanuts, herbs, and lime wedges, and serve alongside brown rice.