No, there is no way to download the video from WhatsApp. You can view it only. They will automatically disappear after 24 hours.
Even you cannot use it with third party app. WhatsApp doesn’t allow it on its app. Even you cannot download your own status video. Your status will also disappear after 24 hours.
So, downloading anything from the status is not available on WhatsApp. You can download videos in WhatsApp chat only.