I am working on a bioinformatics project with my adivsor and saw from a question that addititonal storage can be requested for academic project (see screenshot below). It says to check out the last section of the FAQ for more information.
Yes, we allocate extra space at the different public servers.
For the UseGalaxy.org server, this is now automatic for everyone with an extra 1 TB of space in additional to the regular 250 GB.
For UseGalaxy.eu there is a form to make requests, and for UseGalaxy.org.au extra default space is associated with email addresses for the AU national researchers, and others can make requests with a request form.