I take it that you mean your graphics card driver. Well, yes and no - there might be programs to specifically tell that, but the Xorg logfile should tell it just as well. For example:
brings the logfile to your screen. Type '/' without the quotes (shift+7) and type the driver name for a search string. For example if you had a SiS driver, '/sis' and ENTER would search the next hit downwards for 'sis'. Or for ATI radeon '/radeon', or proprietary ATI drivers '/fglrx'. Backwards search works the same way, but with '?' instead of '/'. If not the first, then one of the hits close to that should tell something about the driver. For example it could look like this:
(II) Module sis: vendor="X.Org Foundation"
compiled for 1.3.0, module version = 0.9.1
Module class: X.Org Video Driver
ABI class: X.Org Video Driver, version 1.2
EDIT: oh, and the driver name. Well that's easily found out by reading Xorg configuration file (probably is in the logfile too, but more easily found from the config file):
grep Driver /etc/X11/xorg.conf
It lists a few lines, for example something like this:
..and one of those is your graphics card driver. It's name sould clearly tell you which one it is - it's not kbd, not mouse, not wacom, not synaptics, ...
Or if you can't figure out, read the full file with 'less' and scroll down to the section that talks about your graphics card - that's the Driver line.