HDD only blinking not recognised

My Western Digital External HDD stopped working. It is formatted to NTFS. If I plug it in, the light on it is blinking, you can hear it spinning, but it is not recognised in Windows, and in the partition manager it is not listed.

If I plug it into a Mac, it is recognised but very slowly, I can see the file system and copy certain files, but many files fail to be copied. But even the copying is extermely slow.

Sometimes when I plug the drive into computers it is only beeping repeadetly (not clicking), I need to move the USB cable a bit at the connector of the drive to stop this.
Is is possible to repair this drive at home?