button click event in powerBI

You can do that in the Dashboards section of Power BI Service.
From there, you can edit the tile and set it to redirect you to a custom link or another tile or report.

Now, if you have a set of pictures and you want to filter your data accordingly, then you can use the chiclet slicer as explained here: https://powerbi.microsoft.com/en-us/blog/visual-awesomeness-unlocked-the-chiclet-slicer/

The second option is also avilable in the desktop version.