They maybe could, but I think it would be pretty unlikely. A lot of Asain companies strive to bring everything in house. Samsung Display is not just for making TVs, but also internal B2B as a supplier for Samsung phones, and such. This allows them to evade or not take as much of a hit by the value added tax I believe? If Samsung sold their display division, they would would then have to pay the 10% VAT on each display to make their phones. Right now, Samsung display can make the screens and they don't have to pay VAT.
My understanding of S. Korean VAT could also be wrong.