Amazon MQ for RabbitMQ includes the management, shovel, and federation plugins on all brokers.
And this:
If you want greater control in order to customize features and configurations or to use custom plugins, you may want to consider installing and running your message broker on Amazon EC2 directly.
Yes, this is supported on Amazon MQ as of July 6, 2021:
https://aws.amazon.com/about-aws/whats-new/2021/07/amazon-mq-for-rabbitmq-now-supports-the-consistent-hash-exchange-type/
Here's the old, now obsolete answer (See accepted answer for latest updates):
No. The FAQs state this:
And this: