It was only done to allow those that had their systems located to a completely different space to move their deep space stations closer, and allow those with stations in enemy territory to move them out to their own systems. There should be no reason to allow it again, as technically any stations left now would be done so at the owners wishes.
No. there is no way currently to move a station. You used to be able to move stations with a large capital ship but I think they got sick of us moving them on to the ground or in the atmosphere because you can't do it anymore.