Can I suppress profiles in a flow?

Here is an automated way to do it.  Have a Segment triggered flow that includes a webhook action that calls:

POST https://a.klaviyo.com/api/profile-suppression-bulk-create-jobs/

with headers:

Authorization: Klaviyo-API-Key your-private-api-key

accept: application/vnd.api+json

revision: 2025-10-15

and payload:

{
  "data": {
    "type": "profile-suppression-bulk-create-job",
    "attributes": {
      "profiles": {
        "data": [
          {
            "type": "profile",
            "attributes": {
              "email": "{{person.email}}"
            }
          }
        ]
      }
    }
  }
}