Can you transfer your Xbox live data to another Xbox but still have it on the first Xbox Look at details?

Okay so lets say you have 2 Xbox's Xbox A and Xbox B can you transfer data to Xbox A to Xbox B ,but still have the data on Xbox A? Yes i know its confusing|||Yes you can by recovering your gamer-tag and not all you saved games will be on the Xbox B but your gamer Score will be transferred. I think i have answered your question if now i am sorry good luck on finding the answer.