If you mean a functional black hole, not really - but in terms of lore, the Eve Gate is:

a giant natural wormhole located in the New Eden System in the Genesis Region. Surrounded by a strong magnetic field, ship travel is impossible close the celestial object, and the now unstable wormhole is impassable. Famed for being the source of all life in the EVE cluster and used to lead to the Milky Way galaxy. Its collapse caused the worst disaster in EVE’s history, when the small human colonies of EVE were cut from support from the mother galaxy, destroying most life in the cluster.

Plus a video of Eve Gate, which you can visit. My corporation (and many others) periodically take a trip out there - people leave cans/markers, etc. to commemorate their visit.

If you mean a functional black hole, sort of - but in terms of lore (and tourist attractions), the Eve Gate is:

a giant natural wormhole located in the New Eden System in the Genesis Region. Surrounded by a strong magnetic field, ship travel is impossible close the celestial object, and the now unstable wormhole is impassable. Famed for being the source of all life in the EVE cluster and used to lead to the Milky Way galaxy. Its collapse caused the worst disaster in EVE’s history, when the small human colonies of EVE were cut from support from the mother galaxy, destroying most life in the cluster.

Plus a video of Eve Gate, which you can visit. My corporation (and many others) periodically take a trip out there - people leave cans/markers, etc. to commemorate their visit.

Some people do claim there are systems with black holes, so maybe.