It is possible to configure your environment to store logs from VNC Server in a central location.
By default, connection information is logged to the local Event Viewer. You can configure Windows' Event logs to go to a central location. Please see the following link for more information on the process to do this: http://technet.microsoft.com/en-us/library/cc748890.aspx
It is also possible to review Event Logs from another computer on the network. For more information about this, please see: http://technet.microsoft.com/en-us/library/cc766438.aspx
Ensure you have the following value set in VNC Server > Options > Troubleshooting > Create logs > Custom:
VNC Server can be configured to log to a file instead of to Event Viewer. You can then use standard Windows environment variables to send the log files to a central place (for example a dedicated file server somewhere). To do this, you need to set the below Expert (VNC Server > Options > Expert) parameters: