no, for container backups no such tool exists yet. you can always extract the backup (it's a tar file containing the rootfs and the container configs), and then back it up again using proxmox-backup-client like vzdump does (that allows matching the PBS snapshot timestamp to that of the old backup), or you could use pct restore and vzdump and lose the timestamps..
You may want to check how your storage is configured first. In Proxmox, backups are usually stored as regular files (in the <span>dump/</span> directory), so there’s no direct GUI option to move them between storages.
One approach you can try:
Use pvesm status to identify the source and destination paths
Copy the backup files (e.g., .vma.zst, .tar.zst) from the old storage to the new one using <span>rsync</span>
Ensure the destination storage has "Backup" content type enabled
Similarly, ISOs and CT templates can be found under /iso/ and template/cache/ , so you could move those the same way if needed.
After that, refresh the GUI and check if the files appear correctly.