Will a ladybug's wings grow back?

no, they only have one pair if the wings get pulled off they die

actually, that is incorrect. when i was a child there were quite a few times that i saw a butterfly with a broken wing. i would make then a habitat out of a shoe box and remove the lid. i put in wet cotton balls for the butterfly to drink and fed it leaves each day. within a few weeks the partially broken wings would grow back and i would then free them.