For the package management, it depends on the package manager, but most have some mechanism for installing into a root other than the currently running system.

Even without explicit support in the pacakage manager, you could also roll your own solution by running the package manager in a chroot environment, which would then need to be seeded with the package manager's own dependencies, of course (and use user-mode qemu to run pre- and post-installation scripts within the chroot in the case of cross-architecture builds).

Whether this yields a minimal container when pointed at a repository intended to be used to deploy a full OS is another question, but using a package manager to build a root filesystem offline isn't hard to pull off.

As for how to do this in the context of building an OCI container, tools like Buildah[1] exist to support container workflows beyond the conventional Dockerfile approach, providing straightforward command line tools to create containers, work with layers, mount and unmount container filesystems, etc.

[1] https://github.com/containers/buildah/blob/main/README.md