In order for Duplicator Pro to properly access your S3 bucket a policy similar to the following must be set up.

Add the following to your IAM policy document, replacing the name of your bucket for BUCKETNAME (e.g. mybucket.domain.com)

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Effect": "Allow",
            "Action": [
                "s3:ListBucket",
                "s3:GetBucketLocation",
                "s3:ListBucketMultipartUploads"
            ],
            "Resource": "arn:aws:s3:::BUCKETNAME",
            "Condition": {}
        },
        {
            "Effect": "Allow",
            "Action": [
                "s3:AbortMultipartUpload",
                "s3:DeleteObject",
                "s3:DeleteObjectVersion",
                "s3:GetObject",
                "s3:GetObjectAcl",
                "s3:GetObjectVersion",
                "s3:GetObjectVersionAcl",
                "s3:PutObject",
                "s3:PutObjectAcl"
            ],
            "Resource": "arn:aws:s3:::BUCKETNAME/*",
            "Condition": {}
        },
        {
            "Effect": "Allow",
            "Action": "s3:ListAllMyBuckets",
            "Resource": "*",
            "Condition": {}
        }
    ]
}

Note: For an in-depth understanding of buckets, users and policies see the official S3 documentation