It is known that under the Generalized Riemann Hypothesis, the smallest quadratic non-residue modulo a prime |$p$| is less than or equal to |$(\log p)^{2}$|. In ranges slightly larger, of size |$(\log p)^{A}$| with |$A>2$| , we consider chains of |$r$| consecutive quadratic non-residues. We prove unconditionally that for almost all primes |$p$| in short intervals, these chains exhibit Poisson behavior. [ABSTRACT FROM AUTHOR]