Hey @Special_Agent_Ragnar, thanks for joining the Dropbox Community!
We do offer a feature that would allow you to automatically upload videos from your removable devices, such as a camera, called Camera Uploads.
It wouldn't back up the camera in real time 24/7, if you used the Dropbox desktop app, enabled the feature and plugged the camera into your computer, you'd be able to upload the videos to your Dropbox.
You can read more about this feature here.
Let me know if you have any questions.