You can now use AWS PrivateLink to create Amazon VPC interface endpoints for Amazon Elastic File System (Amazon EFS). AWS PrivateLink provides private connectivity between VPCs, AWS services, and on-premises applications, securely on the Amazon network. Amazon EFS customers can now use private IP connectivity and security groups to meet their specific compliance requirements.

from Recent Announcements https://aws.amazon.com/about-aws/whats-new/2019/10/amazon-efs-supports-aws-privatelink/