Sorry: no
Version history is saved for each file in a bucket with version control enabled. If you modify the file, it will save the old version and create a new version for your current version.
If you copy the file to another container, even within the same region, the target file will be version 1.
I tested this with Cloudberry S3 Explorer Pro
EDIT:
You can directly access each version of the file. So what you can do is copy version by version, replaying the whole process in a new bucket. This will indirectly copy the file, including the version
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