Return a file using Java Jersey

I am using the Java Jersey to implement a REST service. One thing my service should provide is a file download option. These files are quite big and are constructed from data from db.

Currently I am fetching all data from the db and saving it to a file and returning a

Response.ok().entity(new FileInputStream(file)).build();

Is there a way how I can start serving the file without fully downloading the data from db, but as the data comes from db append it to the Output stream ?