As far as I know the LF Connector is a one way street.  It can connect Laserfiche and many other applications but the example that is given is one of "viewing a client’s profile in a CRM window and you want to search for related client documents in Laserfiche"  So it essentially turns Laserfiche into a hub where you can use applications to pull other relevant information/documentation for a person.  This also helps for SIS (Sudent Information Systems) where you could theoretically pull up a student in your native system (Colleague, PeopleSoft) and also view their student documentation located within Laserfiche without have to run two separate searches.

In your instance, where the document already exists in your Laserfiche repository, I would suggest creating a Business Process in LF Workflow.  This route would suffice if you are wishing to have the new contact created for the individual user, where the workflow would create the contact only to the users outlook contacts that run the Business Process.  To make the process more user friendly, you could customize the Laserfiche Client toolbar to add the icon of your newly created Business Process.  However, if you are simply wanting these contacts to be added to your Global Address Book, you could simply have a Workflow that creates the new contact as the time the document originally created, which would negate the need for any user action.