Also, I would totally ask the Harvard professor to not only recommend you more generally, but to write a more specific one for Harvard. I'd communicate that its a dream school (if thats the case for you) and ask her to write a letter for it especial…
Hi! Fellow transfer here (thats also applying in the same cycle).
I don't think you're looking too far ahead at all. Professors should have at least 2 - 4 weeks notice for rec letters just to give them ample time to get them done. There's no reason…