In my opinion - no.
The Dark Eldar are the living embodiments of all that is wanton and cruel in the Eldar character. Highly intelligent and devious to the point of obsession, these piratical people revel in the physical and emotional pain of others, for feeding upon the psychic residue of suffering is the only way they can stave off the slow consumption by the Chaos God Slaanesh of their own souls. Source
Their cruelty is a way to AVOID chaos - since they have no spirit stones, that would protect their soul they instead sacrifice souls of others. It is a bit paradoxical: they do chaos work while despising it at the same time; they do what Slaanesh cultist do but at the same time they despise them and hate the She Who Thirsts for destroying their ancient empire. If you'd prefer to use Warhammer Fantasy RP alignment system, they are EVIL contrary to CHAOTIC cultists.
This region of damaged tunnels is centred across the Warp Storm known as the Screaming Vortex. The Vortex is home to teeming hordes of daemon-worshippers and mutants, living and dying at the whims of warlords and sorcerers intent on murder and subjugation in the name of their dark gods. While this a ready source of slaves and victims for the raids of the region's Kabals, it is a realm largely inhospitable to the Dark Eldar, so strong is the presence of She Who Thirsts within the storm
It means that mere presence of chaos weakens the Dark Eldars.