I've never seen a lever-action 9mm. carbine, and I doubt that one will be produced, for several reasons:
1. If it's tube-fed, the base of the cartridge needs to be rimmed, so as to work on the cartridge stop. If you look at every single tube-magazine lever-action round (.25-20, .32 H&R Magnum, .30-30, .32-20, .35 Remington, .38 Special, .357 Magnum, .44 Special, .44 Magnum, .45 Colt, .454 Casull, .45-70, etc.), all of them have rimmed cartridges. The 9mm. isn't rimmed, so it wouldn't work in tubular magazines. (Of course, in a box magazine, such as the Browning BLR, this might not be a problem.)
2. Again, for tube-fed magazines, the bullet shape is very important - no pointed or round-nose bullets could be used, for fear of recoil forces causing an accidental primer ignition. Box magazines, of course, would eliminate this problem.
3. There's just no demand for it. It's never been an "old-style" plinking or hunting caliber, whereas all the others have been used for that for many, many years.