Can backup be recovered?

I did a database backup before my dangerous* change, but I didn’t click the download button. (Didn’t notice it and assumed the download of the backup was automatic.) Sure enough, my replace messed up the site, and now I don’t have a backup file to restore it. Is the backup file possibly still available somewhere I can get to it via FTP?

*I was doing a replacement involving the domain name. Specifically, I had the site’s root in a subdirectory of another site, but just changed it to an add-on domain so I wanted to remove the upper level site’s domain prefix. I can now visit the home of my new site, but not any of the pages. 500 internal service error. Maybe there’s a way I can manually repair it?

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