To have the right to change the move a content you obviously have to have access, but you also have to meet one of the following conditions:
be the author of the content in question
have the right of "contributor" to the space or more
have the right of system "coordinator" or more
In Elium, it is possible to move content from one space to another at any time. For this, you have three options:
In edit mode, change the choice of the space in which you will publish it
In publication mode under the three small dots, you will have the option to "move" the content. You can then choose the space where you will move it
You can also use the grouped actions from the library view.