In a medium bowl, combine the ground pork, minced garlic, half of the grated ginger, sea salt, and black pepper, mixing until well incorporated.
Lay out the wonton wrappers and place a small spoonful of the pork mixture in the center of each.
Moisten the edges of the wrappers with water, fold them into triangles or pouches, and press firmly to seal.
In a large pot, bring the chicken bone broth, tamari, and the remaining ginger to a gentle simmer over medium heat.
Carefully drop the dumplings into the simmering broth and cook for 4 to 5 minutes until the pork is cooked through and the wrappers are translucent.
Add the chopped baby bok choy and toasted sesame oil to the pot, simmering for an additional 2 minutes until the greens are bright and tender.
Ladle the soup and dumplings into a bowl and garnish with freshly sliced green onions.