Graphene in the vaccines via hydrogel? Yes in some batches.
Ok, graphene might be a component of some hydrogels and hydrogels are in some vaccine lots. Here are some studies and papers to get you started.
Koki Yoshida, Hiroaki Onoe, in Advances in Chemical Engineering, 2021. From a book, chapter 5: https://www.sciencedirect.com/science/article/abs/pii/S0065237721000016
"Graphene oxide-incorporated hydrogels for biomedical applications." Some hydrogels contain graphene. https://www.nature.com/articles/s41428-020-0350-9
Some hydrogels contain graphene. "Preparation, Properties, and Applications of Graphene-Based Hydrogels". https://www.frontiersin.org/articles/10.3389/fchem.2018.00450/full
And a search for more articles about hydrogels with graphene in vaccines: https://www.google.com/search?q=what+is+hydrogel+made+of+%2Bgraphene+vaccine&rlz=1C1CHBF_enUS975US975&ei=PILqY9nBJZCiptQPx--LqAc&ved=0ahUKEwjZz4WOkZP9AhUQkYkEHcf3AnUQ4dUDCBA&uact=5&oq=what+is+hydrogel+made+of+%2Bgraphene+vaccine&gs_lcp=Cgxnd3Mtd2l6LXNlcnAQAzoKCAAQRxDWBBCwA0oECEEYAEoECEYYAFCeBVi6C2CyDGgBcAF4AIABP4gB_gKSAQE4mAEAoAEByAEIwAEB&sclient=gws-wiz-serp