Yes, you can copy over the logs to a mounted object store or use aws s3 sync to sync the logs to an S3 bucket. Here's an example:

file_mounts:
  /mylogs:
    source: '<s3://romil-logs>'
    mode: MOUNT

setup: |
  echo Setup

run: |
  echo MyRun
  rsync -avz ~/sky_logs /mylogs

With this, the logs will be stored in the mounted object store or the specified S3 bucket.