Not exactly. I mean, the pirates did think they were dead. The ship was broken up into pieces, just a bunch of boards and stuff floating around. And the Robinsons hid in the jungle when the pirates came to check.

[ Kate's smiling back, of course, though she doesn't reach over again. ]

So then the pirates went away for a while and they had to figure out how to survive on the island. Finding water and food, not getting eaten by tigers, all sorts of stuff. For a while they live in this cave, while the dad and the brothers start building the giant treehouse.