Hi,@Surya Welcome to Microsoft Q&A thanks for posting your question.
Gremlin API (using graph traversals) isn’t a good protocol for performing bulk data migrations. Any tool which can clone/migrate data between Cosmos DB collections would be appropriate for migrating the underlying data in the collection.
I think the Data Migration Tool should be a reasonable choice. If it is for different account, then feel free to use Backup & Restore but it will copy all the collections. You can manually write code to copy the collection.
Please let me know if you need any additional information.
Regards
Geetha