Well yes and no… though there’s a deliberate faster-than-light mode of travel, we see no evidence of natural disaster phenomena propagating faster than the speed of light (obviously), so… let’s say that this places the absurdity of the notion into perspective.
If you mean in ST specifically, there are plot phenomena propagating at warp speeds on numerous occasions. That ENT episode comes to mind:
> Enterprise is hailed by a trio of aliens, who warn that a deadly neutronic wavefront, many light years across, is approaching at a speed close to warp 7. Since the ship is capable of only warp 5 and cannot outrun the storm, everyone must shelter in order to survive the storm's radiation.
> By transmission of a subspace radio signal, which travelled through subspace rather than normal space, subspace communication permitted the sending of data and messages across interstellar distances faster than the speed of light.
Yeah… I’m a trekker… but stuff like this really riles me up… ‘neutronic’ radiation sounds a lot like neutron radiation, and neutrons are massive and cannot travel at the speed of light far less exceed it.
Clearly an omega molecule has pushed the neutrons' mass out of phase and the released chroniton particles resulted in the neutrons experiencing no passage of time.