Support

Yes, there is a way since Akeeba Backup 3.10.1, using the "Upload to WebDAV" method we introduced. The required settings are detailed in https://www.akeebabackup.com/documentation/akeeba-backup-documentation/data-processing-engines.html#proc-boxnet

One important note: It has come to our attention that despite Box.com's documentation the correct WebDAV base URL is https://dav.box.com/dav/ (with a slash at the end of the URL). I have personally tested this setup with my own Box.com account and I can tell you that it does work perfectly. Per our documentation, I advise you to split your backup archives in relatively small chunks (5-20Mb seems to work best) to avoid timeout errors while uploading the archives to Box.