The answer to your question is no, posts cannot be attached to pages. You can read more about the differences between posts and pages here: http://en.support.wordpress.com/post-vs-page/
The good news that there are other ways to achieve your goal.
You can place posts under specific categories: http://en.support.wordpress.com/posts/categories/
And then you can create custom navigation with links to specific categories, using the custom menu feature: http://en.support.wordpress.com/menus/
I hope this helps, let me know if you have further questions!