SFTP access from a page on HTTPS site

I intend to embed an SFTP server into a web page on an HTTPS site. The HTTPS site acts as an ordering portal (essentially I have just set it up as a private eCommerce site.)

I currently use a SolarWinds SFTP server with the desktop client to access files on each end. Is it possible to have a page on the website an access point to the SFTP server where individuals can login, upload and download files? Additionally how would I go about completing this?

The files to be transferred are considered protected, therefore SFTP is the only non-paper method of transfer accepted by the recipient.