Is it possible to accept messages in Postfix that are sent to an invalid email address?

I have a Postfix server running and receiving email for “MyDomain.com”. I am wondering if it is possible to configure Postfix to accept email for any address sent to it. For example, could I configure it to accept messages sent to ThisAddressDoesNotExist@mydomain.com? Right now when I do this, the message bounces.