Ummm, No.

Pawns = conk shells
Rooks = fish (vertical)
Knight = horse (but it's a muscle mud harvesting horse!)
Bishop = lighthouse
King = fisherman with a net
Queen = his wife with a straw broom

Puffins??? You must be thinking of your Mary Poppins set.
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I'm Riffing. People usually stop me when I'm riffing. Or carry on without me. That's also an option.