Starting today, AWS customers can use AWS PrivateLink to access Amazon Rekognition from their Amazon Virtual Private Cloud (Amazon VPC) without using public IPs, and without requiring the traffic to traverse across the Internet. Amazon Rekognition lets customers easily add intelligent image and video analysis to their applications. AWS PrivateLink provides private connectivity between VPCs and AWS services, without ever leaving the Amazon network.

from Recent Announcements https://aws.amazon.com/about-aws/whats-new/2019/09/announcing-aws-privatelink-support-for-amazon-rekognition/