Mikhail Gromov states that he "tried for about 10 years to prove that every hyperbolic group is realizable by a space of negative curvature" in his interview with Martin Raussen and Christian Skau (page 6, link below). Is there any information available about the current status of this conjecture?

https://www.ihes.fr/~gromov/wp-content/uploads/2018/08/rtx100300391p.pdf