
Yes, that's the easiest way to copy a frame because it doesn't require freezing and copying existing keyframes--it will create the keys for you wherever you tell it to (in your case, frame 1.)
If the two scenes are going to be edited continuously, here's yet another option: just make a copy of your scene, delete anything you don't want in the new scene, and import the new stuff (new set, props, etc.) Now just set your render range to start with the frame after where you left off in the original.
You can render the frames as a new sequence to its own directory or render it to the same output directory for the original scene and make it all one sequence, your choice.