I know the initial reaction to this question is "no" and "it can't be done" and "you shouldn't need it, you are doing something wrong". What I'm trying to do is get the users LAN IP address, and display it on the web page. Why? Because that's what the page I'm working on is all about, showing as much information as possible about you, the visitor: http://www.whatsmyip.org/more-info-about-you/
So I'm not actually DOING anything with the IP, other than showing it to the user for informational purposes. I used to do this by using a small Java applet. It worked pretty well. But these days, browser make you hit agree and trust so many times, to run even the most minor java applet, that I'd rather not run one at all.
So for a while I just got rid of this feature, but I'd like it back if possible. It was something that I, as a computer consultant, would actually use from time to time. It's faster to go to this website to see what IP range a network is running on, than it is to go into System Preferences, Networking, and then whatever interface is active.