This can be done by using moving a copy of the content-espresso_my_events-event_section.template.php to a child theme's folder and then making changes to remove end time.
The content-espresso_my_events-event_section.template.php file can be found in this location
/wp-content/plugins/eea-wp-user-integration/templates/content-espresso_my_events-event_section.template.php
Step 1) Copy the content-espresso_my_events-event_section.template.php into your child theme's folder.
Not using a child theme? A child theme allows you to customize your WordPress theme without losing customizations when you update your theme through WP. Here is how to setup a child theme.