S3 bucket on ME-South-1

Yes, there are several methods you can use to transfer your S3 data to a different region. Here are the recommended approaches:

AWS DataSync is a highly recommended option for transferring S3 data between regions. It's particularly useful because it doesn't require versioning to be enabled on either the source or destination bucket.

S3 Replication (including S3 Batch Replication) can be used to replicate objects to another region. However, this method does require versioning to be enabled on both buckets and will incur additional costs. S3 Batch Replication is especially recommended for transactional data in critical workloads.

AWS CLI can be used to copy objects directly between regions if you have CLI access.

However, if the ME-South-1 region is currently experiencing an outage and you cannot access it through either the console or CLI, you may need to wait until the region becomes accessible again before you can initiate any data transfer. These migration methods typically require access to the source bucket to read and copy the data.

Once the region is accessible, I recommend using AWS DataSync for its simplicity and efficiency in transferring data between regions without the versioning requirement.
Sources
How do I migrate my Storage resources to another region? | AWS re:Post