Customers can now use AWS Storage Gateway to provide hybrid cloud storage through their Amazon Virtual Private Cloud (Amazon VPC) using VPC endpoints. With this feature, the network connection between an on-premises Storage Gateway appliance and AWS can be restricted to private network routes, further securing storage workloads and administration activities. VPC endpoints for Storage Gateway are provided by AWS PrivateLink, a highly available, scalable technology that enables customers to privately connect their VPC to supported AWS services. 

from Recent Announcements https://aws.amazon.com/about-aws/whats-new/2019/06/aws-storage-gateway-now-supports-amazon-vpc-endpoints-aws-privatelink/