Interesting question , but yes it is possible.
1. Add your Solarwinds DB to Monitoring
2. The field that you are looking for is present in AlertDefinitions Table , this query -> (SELECT * FROM [dbo].[AlertDefinitions] where Enabled=1) will provide all active alerts in your environment.
3. Create a template using SAM - use "SQL Server User Experience Monitor" component monitor and use an update query on [dbo].[AlertDefinitions] - change Enabled to 0
Hope this would help you