No, although these tools can help you achieve some of the same goals.
FTP refers to a means of transferring files between computers, or the act of transferring files this way. You can use an FTP tool to review, rename, copy, and delete the files (your pages, documents, images, and so on) in your Web Hosting account.
Your File Manager is a tool available in your Web Hosting Control Panel that allows you to see, review, organize, and delete your files. From the File Manager you can also create new files, edit existing files, and access your Password Manager and other tools.