Dear @RadioactiveSmurf ,
I am afraid that we have a way to ingest order history into Adobe Target through an API. The supported API Types are here.
As said by @Jacob_T1, if you want to update the profile, you can do it; but is your use case related to the profile update?
And, if you are using Adobe Experience Platform, then you can backfill the data that is in AEP however only the segment can be pushed to Adobe Target through destinations and while activating the segments you can add profile attributes for the qualified segments. So, the ask is practically not possible in my understanding if it is not related to the profile.
But, I would love to hear from other experts if there is a possible option.
Thank You, Pratheep Arun Raj B (Arun) | NextRow Digital | Terryn Winter Analytics