Hi there, Jeani, thanks for getting in touch!
Yeah, that can definitely be done with a little bit of customization. You’ll want to create a theme override for the month/single-day.php file. To do this, create a new folder in your theme directory called tribe-events and inside that another folder called month. Lastly, create a new file called single-day.php and drop the following code in there:
http://pastebin.com/Paw23GHN
This will remove all the event names from the calendar month grid view, but leave the “View All ## Events” link. Give that a shot and let me know how it works.
Cheers!
Geoff