No. Drivers, like all other software, are upgraded via the repositories of whatever Linux distribution you're using. In the case of Mepis, it uses the Ubuntu Dapper repos. Whenever the software or drivers in the Ubuntu repositories are updated, your Mepis will alert you that updates are available (assuming you have the updater applet installed on your panel). You can also update your Mepis manually from the command line:
# apt-get update
# apt-get upgrade
Or you can update via the graphic frontend for APT, Synaptic. See THIS
tutorial on how to do that.