On the original Clip, yes. You can get replacements here (although it looks like all they have left are pink).
The Clip+ model however has an intregrated clip on the back. While it is much sturdier than its predecessor and less likely to break, it is not replaceable. Those who have managed to break theirs have ground down the remaining plastic level with the casing and glued on another clip of some sorts (like from an office supply store).
