There is no current option for creating a VDB as a War. A VDB can only be deployed using the .vdb (using Teiid Designer) or -vdb.xml (xml format, created by exporting from Teiid designer or manually).
However, there is an option for exposing your VDB using REST services, but the VDB is still deployed (separately) using one of the above formats. See the Teiid Designer Web Sevices section  for details.
Hope that helps.