Are Rare Cases of Immune Thrombocytopenia Linked to the COVID Vaccine?

As of February 8, 2021, more than 31 million people in the U.S. had received at least one dose of the coronavirus vaccine, with 36 cases of immune thrombocytopenia (ITP) reported to the Vaccine Adverse Event Reporting System by the end of January. Is the onset of the condition related to the vaccines? The vaccines are considered safe overall, but what did the CDC and FDA have to say about it?