Hello Adam,
Thanks for going Pro and welcome to the forums.
Yes, it is possible to hide event timings. You can do it 2 ways.
1. Customize the template files. Here are some guides to get you started on that:
https://theeventscalendar.com/knowledgebase/themers-guide/
https://theeventscalendar.com/knowledgebase/template-overview/
2. With some CSS tweaking. Paste this into your style.css file, and the timings will disappear. Note: if it is a recurring event, also the “Recurring Event (See all)” label.
.tribe-event-schedule-details, /* List view, Photo view */
.tribe-events-tooltip .tribe-event-duration, /* Month view tooltip */
.time-details /* Day view, Map view */
{ display: none ;}
Let me know if this helps or if you have any questions.
Cheers,
Andras