“Across” is a preposition that refers to the action of moving or reaching from one place to another. Because it is a preposition, it is followed by the object of the preposition — that is, place/thing that is being crossed. Example: “He stretched his arm across the table.” “Far” means that the movement was a long one. So, here, “far across” means “Moving a long distance,” and it is followed by thing that was moved across (namely, “the distance and spaces between us.”