Absolutely, .htaccess and mod_rewrite are fully supported here. If something is not working for you, that probably indicates a problem with your .htaccess code used.
I have checked your site and I think I see the issue: you don’t have a .htaccess file.
The code you’re using is correct. However, the file it’s in is called .htaccess.txt. But that file is not recognized by the server, it must be called EXACTLY .htaccess for it to work.