I guess so, with some messy fiddling about.
For example, you could set up a web service on the home computer that executes the AppleScript.
Many moons ago, I used to use an app called ACGI Dispatcher to do just what you described. A quick Google just now didn't throw anything up but you *might* find a copy somewhere and it *might* work on modern Macs!
...whether any of the above is a good idea or not is a separate topic! ;-)