For clarity, what interface do you wish to use on the web server to have your workstation transfer files with the FTP server? Are you talking about a collection of web pages which shows you files you can download and allows you to upload? Or you thinking you ftp into the web server and have it proxy to the FTP server?
The proxy I am sure could be done. Some how. But I don't know how exactly (haven't spent any time researching it to see if its possible).
The web interface (and probably the proxy) would ding you on bandwidth. And its possible it could ding you twice if your bandwidth is getting metered from the web visitor and to the ftp server.
client with web browser <-bandwidth-> web server <-bandwidth-> FTP server
But it really depends on how your network and ISP is configured.