Yes, there is a way.
Go to https://web.archive.org/web/*/stackexchange.com
Questions typically go "hot" within a relatively short timespan after they are asked. So click on the date and then time shortly after the question was asked. Then use Ctrl + F to look through the "hot" list on the home page. If you don't find it immediately, try going gradually forward in time to see if it appears.
If this doesn't work, start looking at the second page, by following this link and doing the same thing there:
Repeat with each page.
Please note that there are fewer snapshots of pages 2, 3, etc. than there are of 1. Thus, it's possible that you could miss a question, even after a thorough search. Thus, it's often possible to prove a positive. But it's sometimes not possible to prove a negative.
In some cases this work may take a few minutes to perform. It would also be possible to write a program that could do it for you.
When searching for the question, remember that some questions' titles may have been edited, so check the revision history to make sure you're searching for the correct title.