Of course,
I am writing this post in my AAO with TinyCore, connected with wifi, or wired. Configurated with Xorg for best resolution.
There are extensions for wine and OpenOffice, both runs perfectly, and you can see it in this example:
http://www.dma4.jazztel.es/tc/example.jpg
Also you can see more apps loaded like gftp, gimp, minefield, emelfm, leafpad, conky and xonclock.
In the repositories there are a lot of apps too.
Search in the forum for more information.
Enjoy tc!