It is not possible to record on your streaming account without streaming the content live. However, you can stream a private event that will restrict who has access to the live feed. A private event can only be accessed from a specific URL that is unique to that individual event which can also be password protected. During this private event, the regular players that you normally watch the live feed from will show the feed as offline. So while it is not possible to record without streaming live, it is possible to stream live while restricting access so you can record without anyone being able to access the live stream.
Another option would be to record locally without streaming, then uploading that recording to your streaming account making it available in the archives.
See below for screenshots of what this looks like in your streaming account:
The private event option can be chosen when scheduling an event. If you do not have this option please contact support.
This is what a private event looks like scheduled in your streaming account. NOTE: The url for this event is unique to this specific event.