Is there an inline fuse to the stereo power wire on a 1997 Plymouth Neon?

There's no inline fuse specifically on the stereo power wire itself in a 1997 Plymouth Neon (or most cars for that matter). The protection is handled by a fuse in the main fuse box, usually under the hood or inside the dashboard. The specific fuse protecting the stereo circuit will be listed in your owner's manual. Look for something labeled "radio," "audio," or a similar designation.