There are two possibilities. One free, one paid.
first one - free geolocation module for prestashop
it has feature to decide what currencies will be available in front of your shop for visitors from selected country
this means that you can just disable dollar in your front office and set NOK as default currency for front office :-)
second one is paid geolocation module for prestashop
module gives possibility to define as many geolocation conditions as you want, so you can control availability of currencies and languages for all visitors from all available countries (not only one as free version).
anyway, both modules gives you possibility to achieve what you expect but with "pro" version you've got more possibilities of personalization :-)