Yes - and it's easy.
Simply click "... More" in the download options and choose "Download load file". This load file contains the same fields from the initial creation of the download.
If you need to re-export just a load file with existing begin doc numbers from your previous download and would like to add more fields to your load file without having to re-export images, natives or text, you can export previous doc numbers via a search CSV download. You also have the option to include the following fields in your load file/search CSV.
Prev Doc Number(s)
Prev Download Names(s)
Prev Doc and Download ID(s)
You'll want to filter or search for the download in question, then click the CSV icon, and from there you can add in the above fields as well as any other necessary fields.