NOOO!!! Bitcoin will never fall down from $4k. Rather it would increase on a higher scale. According to various experts Btc will surpass $30k in dec 2019. I agree that crypto is highly volatile, but it would not fall to such a extent.
On the other aspect we cannot say that btc can never fall to $3k. Its highly volatile and may leads to be lower down to such an extent. But it seems to be impossible.