Yep, it's called "fragging". try doing a google search for "coral fragging" and you will find all kinds of info.

Get into good habbits and where goggles...they can squirt toxins when bothered and you don't want it in your eye.

The easiest way to move polyps is by cutting the rock with bone cutters or by using a razor blade to slice under the polyp but not actually slicing the polyp. Leathers can be sliced with sharp medical scissors but it needs to be one clean cut so that it can heal quickly.

Super glue gel is what you want to use to attach the rock shavings and polyps to the new piece...let dry for about 5 minutes.

Use a rubberband to attach the leather to a piece of rubble. It has to be loose but secure so it does not move. Remove the rubberband once the coral has attached itself.

Nothing to it....now go read some tutorials with pictures :0