Jila, welcome!!
From trying on my own device, as well as reading about it, unfortunately, no. It just isn't designed to do it. (Yet at least.)
Keep in mind that the "rearrange your shop" feature only is seen on a PC or laptop. When we do rearrange our shops, it is not visible on the Etsy (buyer) app.
Because of that, I am very careful when I list and renew. I list/renew the "uglier" stuff first, and then my items that have better photographs. That way, the nicer looking stuff is up front.