Objective-C was originally developed as a pre-processor macro expansion enhancement to vanilla C. Everything it did was converted by the pre-processor into C. So yes, you could (and I think still can) do it all with function calls.
But the syntax to do it is very, very ugly. And you'll need to do it a lot, to make calls to all the SDK APIs. You really, really really don't want to go that route.
Now, it's not that hard to write all your own logic in C or C++, and then just do the API calls in Obj-C. Apple used to have some pretty good examples on mixed programming, at least for Mac OS X. They would probably apply to the iPhone SDKs as well.
Try poking around on the Developer Connection website for examples.
joe
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