No we don't have Lucky or Harman doing much of anything significant, color-wise. Kodak already has a viable selection of high quality color neg films in multiple formats, not just 35mm; and Ektachrome was basically in sleeper mode for a little awhile; the present E100 is just a tiny bit different from what they last offered in terms of E100G. So basically all the R&D was already on hand.
Cibachrome was based on the Gaspar dye destruction method going clear back to the mid 1930's. Yeah, someone could possibly DIY replicate something like that, but not at commercial scale in anything resembling the look of Cibachrome itself. You'd have revive every aspect of that, and then hope to make enough of it and sell if off fast enough before it goes bad - which happens rather fast. Just how many tens of millions of dollars do you intend to invest giving this a jump start? And how many people want to go back to high-output "nuke" color enlargers with high utility bills, or high volumes of sulfuric acid needing special processors and plumbing, and probably industrial hazmat permits too? Laser printing setups aren't affordabe to amateurs either.
Subtract the special look and the permanence quality of Cibachrome, and what's the point at all? Might as well learn how to simulate the old R-print method on current RA4 paper, like certain others are experimenting with. If you want to resurrect the old Gaspar method and try to improve that, more power to you; but you'll have darn little to go on. One or two people might have made slight inroads on it.
Kodak developed their own direct-positive wannabee competitor product to Ciba, but never marketed it; and it wasn't a full-gloss look. The odds of accessing those R&D files, let alone reproducing the dyes and coatings involved, is probably close to zero. And sadly, Ron Mowrey (PE) is no longer with us, who did have some inside knowledge of that.