No problem and yes you can rearrange. When you load up all of your products, then click on collections and make new collections which are also known as categories. When you place your products into their respective collections, click on a collection you would like to work on first and inside of that collection, you can rearrange your product.
So for example, in the "Home" Collection, you can have as many, as little or no products on your home page and you can rearrange them by moving the mouse over the up and down arrow to the left of the product name then move it up and down in the order in which you choose. You can make this page visible or not visible. The choice is abundantly yours :)