Yes, you can copy and paste your elements either on the 'Advanced Editing' screen or the 'Edit Scene' modal only in the same project.
Copy: MacBook – Cmd + C Windows – Ctrl + C
Paste: MacBook – Cmd + V Windows – Ctrl + V
You can copy an element from one scene to the other. It will get pasted with the same properties and in the same place in any scene. Once you have exited the project, you will need to copy your element again.
You won't be able to paste an element in a different project, only in the same project across scenes.