Yes - it is actually more commonly done.
The second link (the howto) includes a section on mounting Windows shares to Linux. This still requires configuring samba on the Linux machine.
However, since the Ultrium drive is on your Windows machine it appeared you wanted to backup Linux files to it which is why I responded as I did.
By doing the share from Linux to Windows you eliminate the copy step - you just backup from the share itself.
If you want to store the files on your Windows box so they are always there and are just backing up from Windows to have them in case the Windows machine goes down you might want to consider rsync instead. The rsync command allows you to copy specified files to one server from another. Getting rsync on Linux is fairly trivial (its usually included in the basic distributions). You can add rsync to Windows by first installing Cygwin which is Linux installation that will run under Windows without replacing Windows.
The link here has a good howto on this:
http://www.gaztronics.net/rsync.php