I imagine almost anything mechanical is possible, but your idea of converting a .357 Magnum Winchester M1892 lever action to 9mm Parabellum is not practical for the following reasons:
1. The M1892 action is designed to load, feed, and extract rimmed cartridges. Specifically, the loading gate, cartridge stop, left and right cartridge guides, feed ramp, bolt face, extractor, ejector, and bolt/lever throw are designed around the intended cartridge (.32-20, .357, .44-40, .44 magnum, .45 colt). Modifying all of these to reliably function with 9x19mm is a major task.
2. the 9x19mm is commonly available in FMJ and HP bullet styles. Using these rounds in a tubular magazine is just asking for trouble.
3. I know of no responsible gunsmith that has or will tackle such a project for legal liability reasons. The factories do not offer such a chambering because of the lack of demand and the potential liability of misuse with FMJ ammunition.
Yes, it is possible to set back the barrel and rechamber to 9mm P, but then you still have all the other functioning challenges to deal with.
Why do you want a lever action 9mmP That seems like such an odd combination.