Aloha Miles,
Yes, but my method was strictly for a one-way trip. I acquired a '58 TR3A rear axle that was on the way to the scrap yard so nothing to lose. I pulled the half shafts, removed the diff cover & carrier yokes, and set it out in the mid-day tropical sun, open end facing down. After a few hours I put both ends on jack stands to get it up a bit. I lifted one end up a foot or so and let it drop back on the stand. After a few iterations, the diff dropped out onto the old blankets I put underneath.
Anyway, if you plan on putting it back together, put a stripe of paint across an end of each carrier yoke and diff case (red-left; green-right); they have to go back on the same side & orientation. After a lot of fiddling, I got the TR3 carrier/ring/pinion into a TR6 diff case. My 6 is not road-worthy, so can't test out the transplant yet.
Jeff