Chaotic chuo card killed chao chuo under level

So I ended up grouping up with some people to do chaotic chuo and couldn’t damage him. I got credit for the kill but was to under level and didn’t get full credit so I never got his card. I don’t if that is the only way to get his card. Will it still randomly drop?

-So I showed up to kill chao chuo and everyone told me I wouldn’t be able to participate in the fight as I was 200gs.

-I hit Chao chuo for no damage but still registered the hit,

-When he was felled I got the mark in my adventure book but no chest, so no card. Is there any way to get this chest again or another card?