In a large skillet over medium heat, heat olive oil. Working in batches, add dumplings, seam side down and cook until golden, about 2 minutes. Add 1/4 cup water to skillet and cover with lid. Let steam until pork is cooked through, 10 minutes.
Mix the pork, ginger, garlic, green onion, soy sauce, sesame oil, egg, and cabbage in a large bowl. Place a teaspoon of filling onto each wonton skin, then moisten the edges with water and fold diagonally to create a triangle. Roll the edges to seal in the filling. Transfer the dumplings to a lightly floured surface until you're ready to cook.
Steamed pork dumplings are traditionally served as an appetizer with a dipping sauce, such as hoisin. You can purchase bottled hoisin sauce at the store, or you could try our simple recipe for Homemade Hoisin Sauce. Other great sauce options include Chinese-Style Hot Mustard or our Easy Asian-Inspired Dipping Sauce .
Place a bamboo steamer in a large pot and add enough water to come just below the base of the bottom steamer. Line each basket with a single layer of cabbage leaves to prevent the dumplings from sticking; important, do not omit or you will be eating of the steamer :).