Heat the sesame oil in a large pot over medium-high heat.
Add the ground pork, sea salt, and black pepper, breaking the meat apart with a spoon until browned and cooked through.
Stir in the minced garlic, grated ginger, and sliced red bell pepper, sautéing for 2 minutes until fragrant.
Pour in the chicken broth and coconut milk, bringing the mixture to a gentle boil.
Add the soba noodles to the pot and cook for 4-5 minutes, or until the noodles are tender.
Stir in the chopped baby bok choy, fish sauce, and lime juice, simmering for an additional 2 minutes until the greens are wilted.
Ladle the soup into a bowl and garnish with fresh cilantro and red chili flakes before serving.