My suspicion is that the answer very likely is "No."
But I thought I'd ask anyway.
Various common protocols, standards and technologies have their own logos:
e.g. GSM, Email, RSS, WiFi, HTML5, Bitcoin etc.
Even the concept of sharing across the web has its own representative logo. (Arguably it has several).
Does the family of structured data technologies (Microdata, RDFa, JSON-LD, Schema.org, Microformats etc.) also have a representative logo which can be used on icons?
(Even if it's one that's very rarely seen or used?)
Supporting Information: For the sake of completeness, I should add here, the precise reason why I want to deploy a structured data icon. It's because I am writing a custom CMS, in which - for each page - various types of data are editable.
I am presently building the console which enables the person editing to switch between the types of page data they want to edit (meta data / structured data etc.) and it makes UI sense to include some sort of pictorial representation on each icon which will take them to a different type of data to edit.