Yes, it is possible. There are several specialized programs that can do this using a template system. (Blacksmith 3D's Texture something-or-other (Converter?) over at Renderosity can do this with a click.)
So, you can do what you you're asking. However, you do not need to remap the UVs of the object in question. (And you certainly don't want to, unless the object is going to be saved as a new object, just for that purpose.) Instead, you convert the texture set to "fit" the UVs/Material Zones of the desired object. (IIRC, that's exactly what "Texture Converter" does and other programs like it.)
It's possible, depending upon how determined you are and your skill with various art/"photoshop" programs to manipulate the texture sets of your choice to fit the object/figure of your choice, without having to spend any money. (Could be done with GIMP and UVMapper to produce the UV templates for you.) You would, however, have to apply these by hand and wouldn't likely be able to use the same Material names as would be in, for instance, the "Material Pose" from the old figure. That's simple enough to do in Poser, though.
PS - It is also possible to actually remap the UVs of an object to more closely match the UVs of another. The same with groups and material zones, as well. But, it's a non-trivial task for objects that are very different in topology. It's not really possible to reliably "cut&paste", for instance, the UVs of one object over to another, since UVs are a product of geometry references and those references would be entirely different for differing topologies. (Within reason - Sub-d'ing a mesh, for instance, doesn't signficantly alter UV relative references or destroy the UVs.)