It is possible to delete a Configuration Pack by going to System>Configuration Packs, selecting the Configuration Pack, and then using the Configuration Tools>Delete Pack button.

A Configuration Pack can only be deleted if it is not used by any Projects. So, you would first need to delete any Projects that use that Configuration Pack.

Note that a Configuration Pack can also not be deleted if it is used by any Projects in the Recycle Bin. Projects are stored in the Recycle Bin for 90 days before being permanently deleted.

Deleting a Configuration Pack is a permanent action. You may want to consider exporting a copy of the Configuration Pack as a backup before deleting.