Give it a try. It depends how badly things were messed-up by the computer crash. If the old hard disk is basically intact, you may know where the data files and media files are located and you can use any of the usual Windows file-copying methods to copy the the files/folders to the new hard drive. Save the media folder to the same new location as the data files.
Install PAF on the new hard disk, and when you run it, ask it to search all drives for PAF files. Then open the files, and if you like what you see, use File menu > Save As to save a copy to the new hard disk.
If you open the PAF file and see the "linked-media marker" (tiny rectangle) but no photo, click the camera icon, then Modify and browse to the new location of the photo and click OK. You should then be asked whether to use this location of all multimedia links. Reply Yes, and it should rebuild all of the media links.
You will notice that this reply if full of ifs and maybes, but that is the nature of a major computer crash. Let us know how it went. We are hoping things go smoothly foryou.
I like the 3-2-1 backup system. (a minimum of 3 backups, on 2 different media, 1 stored offsite.) I accomplish the last part of this by sending a copy of my PAF backup to myself as an email attachment, so it is stored on Google's servers.