Hello. I need to know if it is possible for me to rent a car without a credit card in Norway
It´s unlikely but you can look. Read this and then you will know where to look:-
At STEP2 of our 3 step online booking process, beneath the car photo of your choice, is a link entitled "IMPORTANT INFORMATION". Click on this link and it will open an additional smaller window, where the terms and conditions appertaining to that particular car at your chosen location are displayed.