Put it in the freezer overnight and try it again. You may get a short period of time in which it spins up...if so, try to copy your pictures quickly. It will probably stop again, so try it in small batches. If it stops, then you can try it again and copy the next batch.
If that doesnÂ´t work, you could try taking the HDD out of the case and putting it into a new case.
If that doesnÂ´t work...ask a computer repair specialist if they have any solutions. Be aware that it is entirely possible to recover all the images but the technology required means it will be astronomically expensive if the suggestions I have given you donÂ´t work.
Other members may have more suggestions...be patient.
Welcome to MyCE, and good luck. Let us know what happens.