If by insurance you mean AppleCare, then no. The AppleCare is simply a warranty that does not cover user damage; only manufacturer defects (logic board, graphics card, etc)
I dropped my Macbook Pro and but luckily no damage (just a bit) but Apple is currently fixing that. While I was at the Genius bar, some lady had her MBP (couldn't tell if it was a 15" inch or 17" inch) in the same conditions as those photos you posted but she told me that she was quoted $1250 and her warranty was voided because of it. Good luck