There are two things going on.
1. The EU's negotiated contracts with Pfizer and Astra Zeneca and the political posturing by the EU around their failure to source the vaccine as quickly as the UK and
2. The decision by individual countries in the EU and Norway/Iceland to pause the use of the Astra-Zeneca vaccine because of blood-clotting and other side effects.
The latter has nothing to do with the EU or its bureaucracy as you suggest but then again you should know that as you read the news!