No. The ASTQB will administer the exam independent of any courses. You may take the exam at any of the locations published on the ASTQB website. Courses can be taken to prepare for the exam, and ISTQB compliant courses are being offered by ISTQB accredited training providers. In this case, the ASTQB will send a representative to administer the exam directly following the course per an agreement it has with ISTQB accredited training companies.

There are resources available online for your exam preparation.