The origin of demons in Jewish texts outside the Bible (such as 1 Enoch) is attributed to the events of Genesis 6:1–4. When a Nephilim was killed in these texts, its disembodied spirit was considered a demon. These demons then roamed the earth to harass humans. The New Testament does not explicitly embrace this belief, though there are traces of the notion, such as demon possession of humans (implying the effort to be re-embodied).
Again you can't prove anything you believe by the Bible. The books of Enoch are not biblical and using them for your theology while claiming biblical authority is wrong.

