No, non-collinear magnetism is more related to ferromagnetism and anti-ferromagnetism in that there is a set orientation of magnetic moments even absent an applied field, but unlike ferromagnetism and means thatanti-ferromagnetism the spins are oriented oppositelyneither parallel nor anti-parallel, even absent an external magnetic fieldfor example in a helical pattern. In paramagnetism, spins are randomly oriented absent an applied field, but orient when a field is applied.
