I have used Eagle since 3.x and stopped updates with Autodesk. I still use v. 7.x. As stated, I suspect there is a way to make symbols with movable parts. I have never done that, except for supply pins, e.g., for logic devices. (If you can do it for that, why not for everything?)
As a ready alternative, just draw short segments of a net to the pins you want and label them the same as whatever to which they attach. I do that routinely (e.g., for wires to an LCD), and it prevents clutter on the schematic. It does not affect readability IMHO unless taken to an extreme.