WD is a pretty simple program under the hood, being written 15 years ago and just tweaked a bit since then.
As such, it doesn't use any fancy methods of storing its data. You can, providing you have the correct runtimes installed, just copy the whole directory over to a new PC and run it from there. Its records are stored as text files in a subdirectory under the main program directory.
NB, I have my install in c:\wdisplay, preferring not to put it under the Program Files (x86) tree.
Give it a go and see what happens!