I'm leaning on "No" for the same reason why 4K resolution, HDR Gaming, Linux Clients or High DPI isn't likely to be natively supported on Paragon Chat.
As a general idea, if it wasn't a technology in existence when City of Heroes was running (or the devs didn't support it at the time), it's probably not going to work. Although I agree if it did it would be cool... at the cost of my own nausea after overuse.
As far as a "shim program" that would force City of Heroes onto a set of VR Goggles, it would be less than desirable results... like using them to watch a non-3D DVD movie. (You could, I guess if you use the VR Goggles in a sense of maintaining privacy, but without headtracking or UI Optmizations, why?) If one is out there, I'm willing to learn about it.