Preheat the oven to 350 degrees F. In a mixing bowl, combine the eggs, peas and carrots, ham, 1 cup of the cheese, the milk, and the onion. Mix well. Set aside.

Combine the shredded potatoes and remaining ½ cup cheese. Press the potato mixture onto the bottom and up the sides of an ungreased 9-inch pie plate or 8-inch square baking dish. Pour the filling over the potato mixture. Bake for 45 to 50 minutes or until the center is set. Let stand for 5 minutes before slicing in wedges or squares. Serve warm.