No, but not for lack of trying. Consider EU vaccination efforts to date.
Europe has invested billions to support vaccine development. The EU largely permitted exports of locally-manufactured vaccines, while the U.S. and UK blocked them. The European Commission was a founding member of the COVID-19 Vaccine Global Access (COVAX) Facility, to which Team Europe is a top contributor. Closer to home, the EU gave €70 million ($85 million) to the six Western Balkan EU aspirants so that they could purchase vaccines.
But EU assistance has been slow to materialize. On March 28, three months after the EU rollout launched, COVAX deliveries finally came through and Kosovo became the last country in Europe to start vaccinating. EU-procured vaccines aren’t expected there until May.