You can move bookmarks directly on the Chrome Bookmarks Bar (the strip below the address bar) by clicking, holding, and dragging them to a new spot.
If you simply want to change the order of your bookmarks on your current computer, use these built-in tools: moving bookmarks in chrome
Moving individual bookmarks is great, but what if you want to move all your bookmarks into alphabetical order? You can move bookmarks directly on the Chrome
Click and hold any bookmark or folder to move it into a new position or nested folder. moving bookmarks in chrome