Yes you can cut it. Now may not be the most ideal time but hey you gotta get it inside right. Some people will seal the cut with DAP brand of caulking you can find at home depot and lowes. the cuttings can be rooted. Also winter is not really the easiest time to try. If you do cut them let the pieces callous over and sit them in a dry, dark and somewhat cool place. Plumeria cuttings are pretty good at sitting for awhile awaiting to be rooted.

Almost all tropicals wont receive any damage until the temps hit freezing. Thats not to say they wont like it very much below 40. if you have no choice you can wrap some christmas lights around it and then toss an old sheet over it. That can offer a few degrees of protection and keep the frost if any off of it.

mike

After you callus the cuttings for a couple weeks, just poke them into the soil under the main plant and don't let them get in temps below about 50. This should give them the best chance to root at a very difficult time of year, though it may take until spring. Good luck!