No. Real wood takes on its environment, it moves and breathes, therefore fitting LVT on top of a wooden floor will stop the air from getting to it, which will cause many issues. If you've got a wooden parquet floor, this will have to come up before a new floor can go down. You can't lay LVT on top of laminate either as laminate is a wood-based floating floor that needs room to expand and contract in different temperatures, so this would be an unstable subfloor for LVT.