It’s worth noting that the Start menu folder won’t show Universal apps you have installed, so you’ll need to deal with those just using the menu itself. And yes, you can do this by dragging items around individually on (or to) the Start menu, but rearranging via File Explorer is much quicker if you have a bunch of things you want to change. This also gives you the benefit of being able to search for these new shortcuts that you create.
You can easily get to the Start menu’s folder structure on the hard drive to edit, rearrange, or even add new items. Organize, Edit, Delete, or Add New Items to the Apps List