No, that is not provided for in the Verpackungsgesetz (Packaging Act).
Everything at a glance: You will find all answers to all common questions in our overall FAQ:
From 1 July 2022 onwards, all packaging in Germany must be registered in the LUCID Packaging Register. If producers have not met this registration requirement by then, their packaged goods must no longer be distributed in Germany from that date.
The new registration process has started and you can also register for packaging that is not subject to system participation.