Alter Image date and time (date taken)

It would be great if the Timestamp method could modify the image date (date taken) in addition to the Created, Modified, and Accessed dates.

That's a job for the stand-alone version of ExifTool:
https://exiftool.org

Reply to #2:
is it possible to do it by script from within Advanced Renamer or only through the actual stand alone exiftool?