If you subscribe to Nest Aware, yes absolutely. You can use your PC to select a part of the video thats relevant and then export to a video file or time lapse video file. I believe it supports most major video services, so you can export to YouTube etc.
I save video clips of people trespassing or ignoring my no soliciting sign all the time. And I've done a few time lapses of a day going by which is fun.
And, with the Nest Aware, despite the high cost, you know that your video is literally being sent live to the cloud so if something happens, you can easily log into the service on your phone or any PC and get access to the video, even scrubbing back and forth to show the police as needed.