No, and if you stop and think about it, it should be obviously why that would never work... rather, you should hope that would never work. Otherwise, what's to stop me from include()'ing random PHP files from your website, perhaps one that contains your database login credentials?
If the domains reside on the same physical server (or, at least, are on servers that have access to the file systems of each other), then you'd want to use the local file system (as usual) to access the common file. The file path would, of course, depend entirely upon the structure of the file system(s) at hand. This is also assuming that neither file permissions nor PHP configuration would prevent scripts executing for one domain from accessing files stored for another.
EDIT: Still wishing we had that lovely "wait, someone posted while you were composing a reply" interim page that even free forum software offers. 🙁