Yes, you can take the training after passing the OCMJEA exam. Even though the training is a must to obtain the certification, You do not have to complete it before you give an exam. It is just listed as the first step to prepare well for your exam. If you have decent experience in core Java and enterprise Java, you can always complete the training when you are comfortable about it, but you must complete it to become an Oracle Certified Java Architect. In the last step of the exam, you need to submit a form containing the training detail to obtain credits for training.