Is it possible to call custom Python scripts from PowerBi via button clicks or any other user trigge

Anonymous , I doubt that is possible on button press. What you want to.

Power Automate visual has been recently added. But I doubt that has python connector with power bi.

https://powerbi.microsoft.com/en-us/blog/power-bi-april-2021-feature-summary/#post-14480-_Toc68689095