Possible - sure. Feasible - not really for most of us.
Atelier für Dye Transfer
www.bettinahaneke.com
There's a few more, but these people currently seem best positioned to produce in a commercially viable way (within this tiny niche)
The whole horse of "we don't know how archival X or Y is" has been beaten to death. There's data out there and at the same time, the arguments against its validity and reliability are inherent to the methodology. So that's one puzzle we're never going to solve - not even in 40 years' time. I see no progress in that discussion even though it has popped up here several times. Then there's the question for how many of us long-term stability (decades, centuries) of a print is really a pertinent issue.
Let personal choices be just that. What I find interesting about them is to hear about personal motives. What I find decidedly less interesting and more iffy are attempts to make universal claims about what's inherently better in one way or another. I don't think it works that way.