No. Events require a start date, start time, end date, and end time.
However, you can manipulate the front-end (site visitor) view to hide the event’s date(s) or time(s).
Here’s a video demonstrating that you cannot set an event to have an empty date/time: https://cl.ly/1Z08013w1C2H
Last but not least, we have Bundles and a pretty great Refund Policy so you can buy one or many of our add-ons and thoroughly test them.
I hope this info helps. Let me know if you have any follow-up questions.