@rnelsonUsc Unfortunatelly, this is not possible as far as I know. There is already a feature request in the backlog. Maybe give some upvote to show more attention.

https://community.qualtrics.com/p/evolve (EV-1019 or search for „sort directory“)

As a workaround, you could export the contacts and sort them e.g. in Excel:

https://www.qualtrics.com/support/de/iq-directory/directory-contacts-tab/directory-options/?rid=cookie&prevsite=en&newsite=de&geo=&geomatch=#ExportContacts
If you provide some more context on your requirement, maybe we also find another solution. This Guide e.g. describes how to Export unique links from directory:

https://www.qualtrics.com/support/de/iq-directory/distributions-tab-iq-directory/export-unique-links-in-iq-directory/?rid=cookie&prevsite=en&newsite=de&geo=&geomatch=
Best

Christian