Yes, but if the sim was by themselves...would the gravestone be retrivable?
i had a sim die on a community lot. it was her own business lot. The grim reaper popped up and said "it looks like all your sims have died. you have two choices. you can exit without saving and go back to your last saved game, or you can wait for the ghost of your sim to return home. it's up to you." (or something very close to that) then he sat down and turned on the t.v.
i have not played her home lot since to find out if she actually went home, nor have i tried to re-load that community lot, though (i'm not sure what would happen if she lived alone. A grave stone at that lot? At the community lot? Not sure. Maybe i should try them to find out what happened. ) it was entertaining to see all the customers being shooed out of the lot by a ghost though