In theory you can, using URLs like https://www.quora.com/log/revisi… , the log revision under which this question was created: download a numeric sequence of those URLs, extract the dates, and then extract the instances containing “Question added by…”
… In theory. In practice, that will get you banned, because Quora bans scraping of the site, and has squashed any attempts at an API for the site.
If you can’t find a way to do it through the Quora UI, it can’t be done. Sorry.