In a shallow dish, beat together the eggs and milk. Pour the bread crumbs and flour onto two separate plates. Sprinkle fish sticks with salt and pepper. Dredge fish sticks in flour and dip in the egg mixture. Then transfer fish sticks to bread crumbs, covering fish completely and pressing lightly to adhere. Place each fish stick on a wire rack when coated.
Heat 3 tablespoons olive oil in a large skillet over medium-high heat. Arrange half the fish sticks in a single layer without crowding; cook until golden brown, about 1 to 2 minutes on each side. Remove fish sticks from skillet, and transfer to a serving dish. Wipe out pan and repeat with remaining oil and fish. Serve fish sticks, hot or at room temperature, with tartar sauce.