No replaceable fuse that I'm aware of. If it's a mains-powered drive, check that there's actually power getting to the pin connector on the end of the mains adapter cable at the drive end, using a mains tester which can read low voltages (typically arround 12v for most external hard drives).
If the mains adapter checks out okay, the drive is faulty. You can't even test it with the drive maker's diagnostic software if it won't spin up, so you can only assume that it's failed, (either electrically or mechanically, or both).