Currently, you can move a given block or object when its contained within another object (see pic below), but once you click object or an unlinked object, there is no functionality to move the object to another location.
Having a “Move to” (already present within Anytype) option within a object would solve this problem.
I have added two possible places where a “Move to” button can be added:
Adding it to the menu (three dots on the right side of the page) - Preferred Option
Adding it to the object submenu
Notion currently offer this feature.