No he doesn't. He's held his own against Captain America and Spider-Man. And I never saw Cyclops beat him. Nightwing has nothing that could even hurt Wolverine. He'd probably bust his hand on Wolverine's indestructable jaw.
What they should do is just merge universes.
Why go for the jaw? Poke him in the eyes, kick him in the balls or just punch him in the gut. Maybe a quick punch to the throat? Or some fancy judo moves to take him off his feet? Nightwing is a trained acrobat and martial artist. I think he can keep out of harms way long enough to take Wolverine out.