I've done a lot of data recovery over the years and it's been an interesting adventure. Since your drive is an old one there's better chance a SATA adapter may work. If the actual motor in the drive died, however, it's not going to spin up. Swapping controller boards is extremely "iffy" because you'll need one from the same exact make and model of your dead drive plus the firmware has to be the same. Getting a SATA to USB adapter is a good idea because they can be quite handy to have around.

Be aware that chances are very slim of doing a recovery though. If the drive has a lot of corrupted and reallocated sectors there will be spaces on the platters that are inaccessible for the average user. I have a pile of dead hard drives I've been experimenting with for years. Professional data recovery is very expensive (in the thousands of dollars) for a reason: It's very difficult to do and highly specialized equipment is necessary. Always make redundant backups of data that's important.