Other way of updating Dynamic Attributes

Dear Experts,

I would like to ask for ideas and advice whether it is possible to update member's dynamic attributes via BADI or Z program ?

I understand that Dynamic Attribute is assigned in a loyalty program and by using reward rules if the conditions are fulfilled it will update dynamic attribute value in membership (member's dynamic attribute).

However my scenario is that dynamic attribute values are populated from external system and therefore needed to update into SAP CRM membership. In other words, is there other way of updating dynamic attributes ?

Could you please enlighten me.

Many thanks,

Regards,

Benny