No, the Access Manager does not allow you to provide access to password-protected areas of your site or FTP access at this time.
To provide FTP access to your Web Hosting, WordPress hosting, or Website Design Service account (or the Web Hosting side of your Merchant Solutions account), use the Password Manager, available on the Manage tab of your Web Hosting, WordPress hosting, or Website Design Service Control Panel. Learn how to set up FTP access.
You can hide part or all of your web site using the Password Manager in combination with your File Manager (both available in your Web Hosting Control Panel). To set up password protection for your store, click the Customer Access link in your Store Manager.