It depends on exactly which species of plant you're talking about. I recently re-scaped my extremely overgrown 20g jungle tank. I uprooted every single plant that was in the tank, put them all in a bucket of de-chlor water for several hours, then selected the ones I liked best, pruned them down and re-planted them in the tank. Even after all that, they seem to be doing just fine. I'm talking about Jungle Vals, some Marsilea, Water Sprite, and Swords, all of which are all pretty hardy plants to begin with. I would say that unless you're talking about some extremely sensitive plants, you shouldn't have any problems moving them around occasionally. The plants in your pics look like some variety of fern. You should be able to move those no problem.