There's a hypothesis that Ordovician-Silurian extinction cca 450 milion years ago, one of the big five mass extinctions, was caused by a GRB.
About the best you can say for it is "you can't prove it didn't happen". Which, given that it was half a billion years ago, may be the best you can get. There isn't a real smoking gun.
The leading hypothesis is more that a long-term climate change caused secondary effects in a vicious cycle. We know the climate change was happening; there's very strong evidence. But it's not clear exactly what caused it or exactly how it led to mass extinction.
But even then it depends on whether it's the direct radiation that's the issue or something more indirect (atmospheric changes, etc.)