Yes, you can certainly install this. EXEs aren't drivers though. EXEs are just generic executables that can do anything that the developer wants them to. The EXE in question here specifically most likely installs the necessary driver(s). You use and "deploy" it just as you would any other EXE-based installer which is usually using a package/program or application and then including an Install Software or Install Application task. You can then apply a standard WMI query-based condition to the task if desired to ensure it only runs on specific devices.
Silent installation is specific to the EXE and whether or not the developer included a way to do this. You may need to consult the vendor's documentation. Often, running the EXE from the command-line with a -? option will show you the valid switches which often include a silent or unattended switch.