Not really, at these speeds the warship is a large stationary target.
That must be precisely targeted from over the horizon to within 100 yards if the missile is a kinetic or conventional explosive device.
Anti-ship missiles have on-board terminal IR or Radar guidance to precisely target the ship. A hypersonic missile would have great difficulty trying to use either effectively, or to make the incredibly small adjustments to their flight path in such a short period of time.