Delta itself is a file format, consisting of Parquet files for the actual data, and a JSON transaction log to maintain the ACID transactions, among other benefits. It will live in whatever store (e.g. S3) you choose in AWS.
Data is only duplicated if you choose to write another table, generally as part of data engineering best practices. For example, as you clean and enrich data, you might write another table so the clean data is readily available and removes the need to reprocess the transformations.