Switzerland is due to modernize its data protection law, in order to keep up with changes at the European level. The draft has just been released, and does not include a right to “data portability”, which is disappointing and problematic.
Preliminary comment: the rejection is based on three arguments, all very weak:
that it requires cooperation between data controllers (not really true for portability, and the right to portability could be weakened to a right of copy to weaken that concern);
that it is mainly meant to create economic competition between data controllers, and not meant to protect personality (ignores that winner-take-all effects create externalities, including on other fundamental rights);
that the costs of compliance would be large (Swiss companies offering their services to EU citizens will have to implement portability systems anyways, due to extraterritoriality of GDPR)