In many cases, yes, we do allow them (under certain conditions)!
Our priority is to support the free content and free and open-source software ecosystems. As such, we cannot invest time, hardware and resources to provide private hosting for everyone. However, contributors to the aforementioned ecosystems can use up to 100 MB of private content at their own convenience.
https://docs.codeberg.org/getting-started/faq/#how-about-private-repositories?