Apparently quite a bit of debris made it to the ground -
> The locals here are pissed in Turks and Cacos. Huge dabris rained down everywhere
It's from the pilot at the reddit link above.
https://old.reddit.com/r/aviation/comments/1i34dki/starship_...
No pictures or reports of anything falling in the Caribbean. People just love adding to the drama, they will later backtrack and explain that by “rain down” they meant the light show.
It would be extremely unlikely due to the laws of physics, last time I checked they were still in effect.