Yes to both the registration and plates.
In that case you must apply by mail or at a DMV office.  There is more information in the following section called lost or stolen plates [ 2 ].
That's what I thought. But what about a temporary registration?
You can download and print a temporary registration in PDF format that is valid for 10 days. We also attach a copy to your confirmation email. You will get your new registration document by mail within 10 days.