No. The Geodatabase Toolset provides a collection of tools that you can use to troubleshoot, monitor, and investigate geodatabase performance. It will not allow you to perform changes to ArcSDE, geodatabase, ArcMap, or MXD configuration characteristics.
The Geodatabase Toolset is an "unsupported" extension; ESRI Technical Support is not available.
Help for the Geodatabase Toolset includes a help file that is installed with the extension. It can be found in Start All Programs Geodatabase Toolset Geodatabase Toolset User Guide.
Additionally, a support forum is available for interacting and communicating with other GDBT users.