If the data is something you can't afford to lose permanently, I'd recommend that you seek out a professional data recovery company. Not a computer repair place, but an actual data recovery lab.
If the data isn't that important, and you can afford the likely risk of losing it forever, perhaps you can post more info about the model, and a better description of the sound (e.g. does it spin up first, then click, or just a faint click and no spinning, etc.).