Hello!
Of course, you can, I will try to give you a brief example with the template Twenty sixteen that is the one that I am using, but I am sure that for your template will be similar.
First of all, you have to search for the source code of your page in a browser and search the code for these dates. In twenty sixteen it is a label Time with the class=”entry-date published”.
Once you have this information you just need to go to your CSS file and edit that class with the following code:
.entry-date published{
display: none;
}
After doing this the date in Twenty sixteen will disappear. In your template, the idea is exactly the same but I guess that the label and the class can be different. I don’t know how familiar are you with these ideas so if you have any question please make me know and I will help you 🙂