A crustal slip or axis tilt could possible have zero effect on the north south alignment of sites along a single narrow line around a circumpolar direction, but, all other sites not on that line would lose their north south alignment by the shift.
E.g. a specific shift could possible leave the Giza pyramids still as acurately aligned to north but would throw the South American pyramids out of kilter. Or visa versa.
If by partial, you mean that only a select region shifted, I'd expect to see quite dramatic geological signs of the folding and tearing it would have to have done.