Can Fallout 4 Saves be Uniquely Named?
Solution 1:
Unfortunately, Fallout 4 doesn't OFFICIALLY support changing the name of the save file. For some reason, Bethesda didn't want to allow us the comfort. On the PC version you can just change the file name, but since you can't do that with the PS4 version, it's not an option.
However, there are some alleged methods of achieving what you want to do. Take a look at this video for example. But please be aware that this is always risky and not supported by Bethesda, so if you want to do this, be sure to think twice and double double back-up your progress.
You can use the Feedback section of the Bethesda website to send a message to the support team of Bethesda, propably the best option for what you want.