Pretty sure that's not possible as a concept with the way texture/UV exporting from Blender works in LOTUS, the only option I can think of is using multiple objects and swapping them via visibility variables. Maybe you could also do some funny things with detail textures and alternative texture coordinates (@2m_ objects) but that wouldn't allow more than two UV maps and would also be an extremely scuffed way of doing it.
As for the original question (animated textures), you could certainly use seperate textures and play them as a video if you'd like to clog up your graphics memory, but I don't think you can have something like that that looks good and really works as of now. Slideshows should be fine, but full videos/animated graphics would probably not be a good idea at the moment.