Sure, as others have already said, all depends on how dark our streets are, how fast your lens is, how steady are your hands and what your subjects are.

If I shoot B&W at night, I push. However, I once decided to walk my (very dark countryside streets) at night with color 400 speed and my Nikkor 50mm f/1.2 to see what was possible. I didn't shoot moving subjects, but did quite alright with still ones handheld.

Upside Down Ultramax by Leighgion, on Flickr