This is possible by adding a small snippet of CSS.
Go to Appearance > Customize > Additional CSS.
And add the following:
.ccfw-news-post-date,
.content-area .ccfw-blog-loop-item .ccfw-entry-meta,
.single-post .posted-on {
display: none;
}
Dates may also be displayed within widgets - you can remove these by just ticking the 'Hide Date' checkbox - you'll find the all of the widgets within Appearance > Widgets
