Just a heads-up that the best way to make changes to a theme is to use a child theme, so your tweaks won't be overwritten when updating the theme. Here are some guides in case you haven't made one before:
Making a child theme keeps all your modified files in a folder outside your parent theme, which means you can't accidentally harm your theme.
Once your child theme is set up, let me know and I can help you further.
Did you want to remove the date just on single posts, or on the main blog posts page, or everywhere?