Sure, just select your object in the first scene, press CTRL + C to copy it. Then load the other scene and press CTRL + V to paste it. I just tried this and it seems to work just fine. If you're on Mac you'd use your copy paste shortcut keys which I am not familiar with.
If you make a prefab out of the objects and then export that prefab to a unity package you can then import it into a new scene/project. If the new scene is in the same project as the old scene then all you have to do is make it into a prefab.