I have a installed Zoomla, phpBB and a Wiki and use the same database for logins. The phpBBconnector allows perfect synchronisation between Zoomla and phpBB.
My question is can I have it so it also automatically sign me in to the Wiki considering that the username and passwords are the same.
Not at this time. Currently the plugin only synchs with phpBB. You would either need to hack the plugin to do additional login/logout or create another plugin for CB to handle the WIKI.