Migrating data from Elastic Cloud Elasticsearch to Amazon Elasticsearch Service

Is it possible to migrate my data from Elastic Cloud Elasticsearch to Amazon Elasticsearch Service?

I know I can transfer my data to a remote Elasticsearch endpoint, but I don't know if it the documentation is talking about Elastic Cloud in specific or any remote endpoint.

I also read somewhere that Amazon Elasticsearch Service doesn't offer reindexing for remote Elasticsearch endpoints.

The ways to transfer data between clusters is through reindexing or snapshot/restore. Whether any of these methods are supported or not by AWS ES I think you need to ask their support.