Yes! Anyone can report your blog/website to Google but only if your blog contain copied posts, sexually explicit. Google will only process the request if he is the copyright owner of the thing your have copied.
He can also report your site to Google if you have removed the credits of author from your template but Google will process the request only if he is the owner of that template.
Example, If you have downloaded a template (Flat Mag) from templatism, then Faizan Ali (owner of templatism) can report your blog but no one except Faizan can report your blog about Credits Issue.
-Shivansh Verma Skv