Stir soy sauce, chili garlic sauce, water, sesame oil, rice wine vinegar, sesame seeds, and sugar together in a small bowl for the sauce; set aside.
Combine ground beef and pork, cole slaw mix, garlic, ginger, soy sauce, sugar, sesame oil, and green onion in a bowl. Stir until well combined. Spread filling in a thin layer to the edges of each wonton wrapper.
Brush sesame oil on a skillet over medium-high heat. Add wontons, meat side down, into the pan; brush oil on the back of wonton wrappers. Cook until browned, 2 to 3 minutes. Turn wontons gently and fry until crisp, about 2 minutes. You may need to work in batches.
Serve with chili oil and sauce. To eat, fold each wonton in half like a taco, dip in the sauce, and enjoy!