Yes. Start by shutting down the old server (Web Application Server) and then copying the AdminDB folder and all of its contents.
Next, delete or rename the existing AdminDB folder on the new server, and then copy the entire AdminDB folder from the old server to the same location on the new server. The database schema was not changed between Web Viewer Builds, so disparate Build levels between servers is not an issue where the Derby DB copy is concerned. You should however, still run the Configuration Tool after the copy is completed to insure that the new server is still pointing to the correct mainframe, and to confirm data and permissions.