If you don't want a certain product or products to be displayed on your store page, you can hide them.
To do this, go to the Show Advanced option where you publish and update your products.
This opens to show a Visibility option.
If you click the Edit button next to Show in Store, you can change your product's visibility.
Once, you've selected the Hide from Store option, click the OK button shown beneath then update, publish or save the draft of your product. The visibility for your product should then show as Hide from Store.
While this will hide your products from the actual store page, it does not hide them from any other page, such as your product category pages.