Nah, resource hacker can add options but can't add functionality to them.
So even if we can get success in adding that option, we can't set it working. It'll be useless and will do nothing.
PS: If u really want to try resource hacker then do this:
1. open the µtorrent's "program files" folder files one by one in resource hacker, until u get the desired file having that context menu options.
2. Now search for the menu, which contain "Torrent Updater" option and copy the line containing the option entry and paste the line in system tray menu options.
Its lengthy but I can't help much coz I don't hv this software installed.