In a large bowl, combine the ground bison, ginger, scallions, garlic, oil, and 4 tablespoons of water. Season with a pinch of salt and pepper.
On a clean work surface, lay out the dumpling wrappers, and place a tablespoon-sized mound of the bison mixture onto each wrapper. Take the edges of the wrapper up and over the mound of meat, and twist together to seal.
In a large skillet, heat ½ inch of cooking oil to medium-high. Add the dumplings, bottom side down, to the pan and cook, undisturbed, until the bottoms are golden brown, about 4 minutes. Add 3 tablespoons of water to the pan, cover, and cook on low until all of the water has evaporated, about 5 more minutes. Serve the dumplings with fresh soy sauce mixed with sliced scallions.