With ITK 4.13.1, the keepAxes keyword argument to GetArrayFromImage can be used to reorder the array; in ITK 5, this will be keep_axes as we become more PEP8 compliant / Pythonic with the Python API. As noted in the documentation, the numpy operator here for GetImageFromArray to flip the image is numpy.reshape:
However, it is strongly recommended not to do this, because images will be flipped in matplotlib, etc. and it has memory usage and performance downsides.