Yes and no.
When recovering from a physically damaged hard drive, pretty much anything you do will make it worse , and most forensic tools focus on getting as much data out as possible. However, this isn't magic, it will depend on the level of damage - ddrescue is what most people suggest in that kind of situation.
This won't transfer the 'data' it will image the whole drive, and you can get the data out through the image.
Two drive slots is a better idea, you want to do the recovery ASAP - the longer the drive runs, the worse the damage can be.
You will also want to check the smart information to decide if its physical damage or not - not all errors show up, but if it shows up in smart, the drive's days are numbered.