Download multiple files in one request

We have a lot of unique files we need to download one per one and sometimes those files needs to be download in a batch of N files (typically 10-20).
We have all files ID, is it possible to GET a batch of files (I assume in a zip archive) giving fastly N files-id ?

There is no mechanism in existing Fastly products to do that, I believe. It could be built as a service in our Compute platform, though, without too much trouble.