Sorry, there isn’t any special command for renaming projects. You can use the VisualGDB template mechanism for some project types (e.g. MSBuild), but otherwise you would need to rename the project manually and update the following files:
The .vgdbsettings files should be renamed to match the new project name.
Any explicit references to the .vgdbsettings files inside the .vcxproj file should be updated.
That should be sufficient to get the renamed project to work. Let us know if you encounter any problems and we will help.