The short answer is no. Apple doesn’t give access to the conversation stream like Android does. Jailbreaking is the only option that will work on-device, while there are paid third-party call-in solutions on the App Store.
Your best bet is to use an outside device like these:
Fivoice Call Recording Earphone For iPhone Recording,Listen Music,Voice Recorder Pen,In-Ear Headphone,need no software, voice recorder or jailbreak
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RecorderGear PR200 Bluetooth Cell Phone Call Recording Device, iPhone And Android Mobile Recorder
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