Did Dinah represent Humpty Dumpty in Alice Through the Looking-Glass?

Alice at the end of the story said "Tell me Dinah, did you turn to Humpty Dumpty? I *think* you did-- however, you'd better not mention it to your friends just yet, for I'm not sure.". Her kittens, Snowdrop and Kitty, did 'turn into' the White Queen and the Red Queen. So, did Dinah turn into Humpty Dumpty? Thanks.