NO. You'll need separate efforts for types such as exe, img, bin. There are multiple incompatible format or data types that use the exe, img and bin file extension. 7-Zip (latest stable) should be able to handle the zip, rar, 7z, gzip, and many (but not all) .exe. Open 7-Zip File Manager, browse to the location of the files (if all in the same directory), highlight them all and select Test. I don't know if files with errors will be individually described. You'll have to see for yourself.
If you want to do batch testing, 7-Zip has a help file detailing use from command line. The only web source I could find for the 7-zip help documentation was for an ancient version over 10 years old. You can install 7-Zip and use the help file provided by the application.