Programmatically Create Fabric Data Pipeline Cloud Connection

Hi CoulterJames2, 

It is possible. The creationMethod is the type of connection to create. If you look at the examples in the documentation, 

POST https://api.fabric.microsoft.com/v1/connections

{
  "connectivityType": "ShareableCloud",
  "displayName": "ContosoCloudConnection",
  "connectionDetails": {
    "type": "SQL",
    "creationMethod": "SQL",
    "parameters": [
      {
        "dataType": "Text",
        "name": "server",
        "value": "contoso.database.windows.net"
      },
      {
        "dataType": "Text",
        "name": "database",
        "value": "sales"
      }
    ]
  },
  "privacyLevel": "Organizational",
  "credentialDetails": {
    "singleSignOnType": "None",
    "connectionEncryption": "NotEncrypted",
    "skipTestConnection": false,
    "credentials": {
      "credentialType": "Basic",
      "username": "admin",
      "passwordReference": {
        "connectionId": "4399ab2c-7551-4c0e-8aa7-18fc2f217626",
        "secretName": "some-secret"
      }
    }
  },
  "allowUsageInUserControlledCode": true
}

 You can see that for this example, this is a SQL Server connection, and the CreationMethod is SQL. 

Here is another API to list all the supported CreationMethods: 
https://learn.microsoft.com/en-us/rest/api/fabric/core/connections/list-supported-connection-types?tabs=HTTP