The short answer is: no, you can't.
The long answer is: no, you can't, and never will be able to. LWJGL is a complete replacement for AWT. Even if we did some clever hacks to it to put it in an AWT window it still wouldn't work because the whole design is based around the LWJGL window.
What you'd end up with is JOGL
Having said that: we're going to change LWJGL to use Buffers instead of ints, and give the GL commands their gl prefix once more, and make all the methods static in preparation for JDK1.5 and static imports.
What this means is that your code should refactor between JOGL and LWJGL very easily.
Now - I'm of the opinion that making a little 3D editor using only OpenGL isn't quite so hard as you might think. In the relatively near future I'll be open sourcing the GUI code from Alien Flux and putting it into the SPGL, which is half the work already.