In a medium bowl, mix the ground pork, finely shredded cabbage, green onions, minced ginger, garlic, tamari, sesame oil, sea salt, and black pepper until well combined.
Lay out the dumpling wrappers on a clean work surface and place a rounded tablespoon of the pork mixture into the center of each wrapper.
Lightly wet the edges of the wrappers with water, fold them over the filling to create a half-moon shape, and pinch the edges firmly to create a tight seal.
Heat the avocado oil in a large non-stick skillet over medium-high heat until the oil is shimmering.
Place the dumplings in the skillet in a single layer and sear for 2 minutes until the bottoms are deeply bronzed and crisp.
Carefully pour the water into the pan, immediately cover with a tight-fitting lid, and steam for 5 minutes until the pork is cooked through and the wrappers are translucent.
Remove the lid and continue to cook for 1 more minute until the remaining moisture evaporates and the bottoms regain their signature crunch.