Aurora Mysql incremental backup export

I observe that Aurora Mysql cluster data and cluster snapshot data can be exported to S3 in Apache Parquet format as described in https://docs.aws.amazon.com/AmazonRDS/latest/AuroraUserGuide/export-cluster-data.html and https://docs.aws.amazon.com/AmazonRDS/latest/AuroraUserGuide/aurora-export-snapshot.html. However, I am wondering whether there is a way to export incremental backup data in a similar fashion. My objective is to export an Aurora Mysql cluster to a local/on-prem server and keep it refreshed daily using incremental backup. Please let me know your comments/thoughts. Thanks!