Nope, can not be done.
However, there is a tool out there called Six Updater & Six Launcher
and nowadays Play withSIX
(which will replace Six Updater if I understood correct) which lets a player select a server and when the tool sees some addons are missing it will download and install those. However, it does not have all available addons and mods on its servers so it is not always possible to sync a players local install with the server installation.