no
ken dodd has dad has dog is dead

it's still contrived, but that's what it is, i believe (i just realised that it might not)
( spacefish i'm the one your stylist warned you about, Tue 15 Apr 2003, 21:07, archived)

strictly
i believe 's is the possessive. but 's is also used as a lazy form of is.
( the triple legendary unicorn, Tue 15 Apr 2003, 21:10, archived)