Answer: Maybe - you have to apply for an exemption which will be evaluated.
"The following people are exempted on request provided that, throughout the period for which the exemption is valid, they have equivalent insurance coverage for healthcare in Switzerland:
- people staying in Switzerland for purposes of basic or advanced training, such as students, pupils and trainees, and family members accompanying them
Requests will be assessed by the competent cantonal authorities. For further information or to obtain the necessary forms, please contact the competent authority directly where you are residing/staying or where you work. http://www.bag.admin.ch/themen/krank...x.html?lang=de
See FAQ pdf at upper right at this link: http://www.bag.admin.ch/themen/krank...x.html?lang=en