No, Rome is expected to officially launch in early Q3 (it's already shipping to hyperscalers) and the Mac Pro is expected to ship in September.
However, Zen 2 Threadripper would likely be a better fit for a workstation such as Mac Pro as it will (most likely) have higher clock speeds. The current Threadripper lineup doesn't support more than 256 GB RAM, though. I don't know whether the new Threadripper will support RDIMM/LRDIMM to compete with Xeon-W on memory capacity.
However, Zen 2 Threadripper would likely be a better fit for a workstation such as Mac Pro as it will (most likely) have higher clock speeds. The current Threadripper lineup doesn't support more than 256 GB RAM, though. I don't know whether the new Threadripper will support RDIMM/LRDIMM to compete with Xeon-W on memory capacity.