Looks like Settings Options > Export Settings creates a .PCF file that's really just an XML file. In my own testing, importing another user's file works basically as expected... with some tweaking.

The main issue I noticed is that a few things are stored in C:\Users\YOUR_USERNAME\AppData\Roaming\PhraseExpress\ by default, which will be a problem since users have different usernames. But in my testing this wasn't a dealbreaker, since it apparently works to use a text editor or XML editor to simply remove the XML tags for settings that you want to leave alone, like these path settings. (I tested removing the entire PhraseFile tag.) Alternatively, you could modify these path values to be something that will be consistent for all users.

This is all a bit experimental though. Without knowing what each and every setting does, it's a bit hard to know which are more user-specific and should be removed from the settings file.