Let's just say no and save a lot of time. However one could guess a clever programmer could write such a thing. I did not check the App Store.
You are right. It doesn't do that out of the box.
Apple really helped a lot of potential business users when they added MS Exchange capability to the iPhone. However, I'm a small business guy and my company doesn't use MS Exchange. Has anybody figured out how to do a desktop email sync with Outlook? When I have asked this question on other forums, i get 2 answers: 1) they regurgitate the instructions on how to sync contacts, calendar and tasks, or 2) they give me a lecture about being some kind of luddite for wanting to do something so archaic. Any suggestions out there?