Playing Half Life (or any other game) will not corrupt your drivers.
As you give no specifications for your setup or whether the fault is recent or not, I suspect Half Life is simply too graphic intensive to the extent it is freezing your system.
Re-installing Windows does just that - re-installs Windows, installing the latest drivers should be straightforward.
First thing to do is check the requirements for the game - remember Minimum means just that. Doesn't mean the game will run properly ;-)