Hydrostatic shock is disruption to the nervous system created by the shockwave of an impact.
Yes, your 243 can do it. Most people agree that hydrostatic shock begins at around 1,800-2,000 fps.
There is HIGHLY controversial research indicating that it can happen with high-velocity handgun rounds, 1,200+ fps or more, roughly, maybe 500-ish ft/lbs of energy. Most people don't think hydrostatic shock from handguns is real or if it is real, significant.
Hydrostatic shock with high-speed rifle rounds is indisputably real and, at times, dramatic.