Oh sure if someone really wanted to tell that story they could make up some BS handwavey excuse to make it a thing...but why bother? Most of the ship is gone. Kerblewy. Vaporised. A former starship, now a cloud of atoms. And it's the half that had all the things that make it a STARship in the first place. What's left over isn't good for anything...except maybe as an impulse speed barge...or a really morbid orbiting hotel. What would be the point of dragging *half" a wreck anywhere? One may as well try and salvage whatever's left of the original Enterprise from the rubble of Genesis and call it a ship...This is all make-believe, remember? If they wanted the saucer intact off the planet, they’d find some science-fictiony way to do it.