Can the import wizard run outside of the schedule?
The import wizard can be run manually or via a schedule, however for Enterprise users you can run an import wizard job via a Process builder invokable action.
This can be useful where you need to push custom object information across to Campaign Monitor in near-real time (only lead and contacts are supported via Subscriber rules).
The Instant Import Wizard is a powerful approach but should be used with caution given that it's best to avoid running too many Import Wizard jobs (I.e. select objects to base the process builder action on that change infrequently - i.e. when a subscriber signs up).