Clarification the dates of blog posts are intrinsically part of the data in the API, deleting the blog post is the only way to “DELETE” such data.
So you cannot delete blog dates what you want is to not display or not render blog posts dates.
To not visually display the blog dates you can CSS like the follow:
Always backup your theme before making changes.
time.article__date {
display: none;
}
add it to your themes relevant CSS file, theme.css ,style.css, custom.css etc
If your dates are sensitive and shouldn’t be in the source code at all you will need to find all the locations in your templates, sections and snippets which varies wildly by theme.