We currently have a legacy and a new experience with the Schedules feature. Your experience may vary depending on the schedule you’re assigned.
If you have "Schedules: Manage" permission, you can edit all schedules in your organization.
Legacy
In the legacy experience, you cannot pause "one-off" schedules.
New
In the new experience, pausing or resuming the main schedule will automatically pause or resume all of its sub-schedules.