Yes, definitely, this is possible with Copywhiz .
Watch this short video for more clarity:
In the destination folder, use this format: %date%-%hour%-%minute% variables in the folder path so that date, time folder is created
Actually, single %datetime% also exists. But currently there is a bug in the new version. It doesn't work.
For example: If you provide C:\%date%-%hour%-%minute%, the files will be copied to C:\2016-05-21-16-40 folder.