Yes! They have one. Their superior variant is called the marble gargoyle. These only appear on slayer tasks if you have unlocked the relevant slayer perk. These can drop an imbued heart and an eternal slayer gem.  You will have to look out when this spawn, they are a lot stronger than your average Gargoyle, so you will need to be on your best to kill them if you don't want to say hi to the duke of Lumbridge.