12 volts are 12 volts, the device will take what current it needs, if your power supply can give 1000 amps it is of no consequence. If your power supply can give 0.0000001 amps it will not power the device.
I would look for something like a 12 volt 2 amp supply
I have lost the power supply for this
https://www.quzo.net/evo-e-u35fs-3-5-sata-usb-2-0-slim-external-hard-drive-enclosure-black-colour-pid33056.html
I know it's 12v DC, but no idea on what the current rating is. Will I fry my hard drive if I get it wrong?