I'm still worried about this, and a simple search on Google shows millions of results on the subject. This seems to be a real problem: why not perform simple file operations such as copy / paste in FTP software (like Filezilla)? , CuteFTP, SmartFTP and others)?
I know you can use ssh, and most hosting services have some sort of file manager that allows you to do this on a GUI, so it seems like it only affects FTP. In addition, the fact that hosts offer this graphical interface would neglect security reasons.
So, why is not it possible? Technical reasons? Protocol problems? Security issues (do not you think, but still)? It is obviously very annoying for any user and gives a very poor experience, so I wonder what is the cause and what prevents that from being corrected.