You probably will have to open it up, although not to take the drive out completely and put it back in. That noise is often caused by the drive not screwed in tightly causing it to vibrate whilst it's spinning, so you need to tighten the screws holding it a bit. If that doesn't work, then I gues the drive is getting old and might need replacing, since it doesn't sound healthy

I guess if it was a laptop, you could try enabling Silent mode to see if that helps