There's not actually a way to have posts show up on a page, per se. With that said, let me ask:
Are you trying to have specific posts only show up when someone clicks on a menu item in your menu bar?
Because if so, that is absolutely possible. All you have to do is create a custom menu for your menu bar and set the menu item to be a category. Then when you are creating posts, set those posts which you want to appear under that menu item to that category and that's where they'll appear.
I know that was a bit vague, but we actually have a whole help article which walks through the entire process:
Of course if it was something else that you'd like to have happen, please let me know! I'll be happy to try and find something that will work for you.