Yes. We have a robot that knows how to do it!

The World Wide Web page with images of the 2 robots of DAIA
(Departament of Artificial Intelligence and Automation) of
LSI (Laboratory of Integrated Systems) at USP (University of
Sao Paulo, Brazil) is here:

http://www.lsi.usp.br/usp/rod/images/cube/rubik_cube.html

Of course, it's Netscape enhanced.
This page has also a link to a page I made with the X-Rubik's Cube
software (xrubik.html in the same address), with inlined images
of the software.

Have fun.

Rodrigo de Almeida Siqueira
Webmaster at Universidade de Sao Paulo, Brazil.
personal URL (full of things):
http://www.lsi.usp.br/usp/rod/rod.html