No.
It is impossible to write something in a “new” way. If a person hasn’t beaten you to it, then the universe has. To drive this point in further, this itself isn’t a new or original idea. Sarah Kay wrote a spoken word poem revolving around the concept that “the universe has already written the poem you were planning on writing.” We cannot “invent new metaphors” or “discover beauty that hasn’t been discovered yet,” as Kay states. We can attempt to shine a light on what the universe reveals to us, but it will never be original or new. The universe beats us to it everytime.
This isn’t cause for despair, but cause for a reorientation of how we look at the world and at art. Maybe I can tell you, personally, something new, but it will never be actually new, simply something new to you.
Furthermore, we are hardly able to be individual or new in our thinking, or writing for that matter. We are formed by both nature and nurture, meaning that the part formed by nurture can never be "new." We receive our methods of reasoning from parents and teachers, our vocabularies and philosophies from books and films. Attempts at being original or unique are ultimately futile, and our time would be much better spent in trying to unearth the truth and beauty in the world around us, regardless of its novelty.