Sponsor Tracking Unlink via Rules Engine?

Is it possible via Rules Engine to REMOVE a record from the SponsorTracking object? 

Use case:  we are using a custom field in our Person object to indicate a contact is a Primary Point of Contact.  When a contact is added to SponsorTracking, we fire a rule that populates that custom field as result.

We want the reverse process to also apply; if the custom field is unchecked in Person, then their record should be removed from SponsorTracking.

I’ve reviewed Rules Engine and don’t see any Action option (e.g. Load to Salesforce) to bring in the SponsorTracking object for any operation (Insert, Update, Upsert). 

This leads me to think that SponsorTracking records can really only be manipulated on our side via the UI Link and Unlink button. 

Thoughts?

Thanks all.

JJ