Is there any way to post tracking event data for a shipment by using unique attributes/refnums?

Summary:

Hello team, good evening,

I want to utilize REST APIs to post some tracking event payload for a shipment, is there any way to post it by using any refnum/attribute value for the shipment? like instead of shipmentGid as a primary key to attach the event, can I send the transmission which have let's say attribute_pk which can be used to attach the event?

For example,

I can see the event on shipment with shipment Gid:

API request:

Tracking event on the shipment in OTM:

I CAN'T see the event on shipment with Attribute:

Tracking event on the shipment in OTM: No effect