AWS Database Migration Service now supports Multi-ENI networking for homogeneous migrations.

AWS Database Migration Service (DMS) now supports network interfaces. Customers can now choose a secure connection type, which improves connectivity to on-premises databases for DMS homogeneous migrations. For each data migration, DMS now assigns a private IP address. Additionally, a non-static public IP address may be assigned if the connection is configured for public access. This access can be established within the local VPC or through VPC peering, Direct Connect or VPN.

For information see documentation for AWS DMS Homogeneous Migrations.
For AWS DMS regional availability, please refer to the AWS Region Table.