Should I use stereoCalibrate() if I use a single camera for creating stereo images?

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I'm wondering if it's reasonable to align stereo pairs using a single camera, like a webcam or better a cell phone. To do so, I will take two picture of the same scene, but moving the camera "a bit" to the right when taking the second image.

Which set of functions should I use under OpenCV to calibrate my single camera and rectify each pair?

Should I use stereoCalibrate with each pair as input, or it won't work cause I wasn't using an ordinary stereo cam?