Can you be sued for personal injuries on a property as part of an estate settlement even if you never inherited the property in question?

Probably not (or you can file a motion to be dismissed if you get named as a defendant). But the effect on your inheritance may be the same because the estate is sued for the injuries, and pays the award, leaving less money in the estate for your inheritance. You should cheerfully assist in any possible defenses, to protect your contingent interest on the residue.