Is graphene a polymer?
Wow. Good question. Graphene is not considered a polymer in the traditional sense. While it is used a doping agent for other polymers it does not have the designation of being one itself, the allotropes of carbon, at least in my experience and that of my adviser, are typically in a class of their own. Unique structures such as buckminsterfullerene and diamond differ from graphene only by the angles between the carbon atoms, 3-d shape, (and number of carbons present). All of which are definitely not considered polymers. Also remember that a macromolecule is composed of polymers. 
http://www.macrogroup.org.uk/schools/polymer_chemistry.php 

https://answers.yahoo.com/question/index?qid=20100906193125AAzb9T0

So the short answer would be no, graphene is not considered a polymer.