It should. I have never done it myself, but as far as i know shimano 3 gear inner hubs parts were always interchangeable as much as possible. I've heard you can even swap bell-cranks and pushing rods on the older ones and newer ones.
That's what I'm hoping for, I've got a felt chief coming and I wanted to put a modern 3 speed coaster on it with the grip shift I have.I expect it would work just fine. On a three-speed, the second (or neutral) gear is the only one that needs adjusted spot-on. The other two settings aren't that critical. The vintage shifter would lend a really neat touch on the right build.