There are Binary Star Systems, where the planets orbit around two close-together stars that themselves orbit around a stable center. Many “pulsars” are actually binary stars where one burns much hotter and brighter than the other.
There have been cases seen of black holes right next to stars, slowly sucking them dry as the stars “circle the drain”, or maybe that was a Star Trek episode?
I think if two black holes were close enough to be called vaguely “Binary” they would just suck each other up and become a, pardon the pun, single-larity.
There is a notion that a black hole could be linked with another one to form a wormhole where matter passing through one comes out of the other, which vaguely fulfills a notion of “binarity”, as there are two such singularities.
Triplarities I think would be harder to come by simply because gravitationally, three body systems are inherently unstable. Any kind of misalignment, and the system would rapidly collapse into being binaric or singularic.
So I guess my answer is probably “no, that’s crazy.”