Zip Gigabytes of files with functions

I would like to zip a large amount of files (several gigabytes) from a bucket and place that zip into another bucket via functions. How can i do this without using a lot of server memory?

TL;DR

Developers want to zip gigabytes of files from one cloud storage bucket to another using functions without consuming a lot of server memory. It's tricky and may not work in the cloud due to storage limitations, but feasible in a self-hosted environment. Creating and writing the zip directly to the bucket on the go is not possible.