Can i work a remote job from Norway while on a work holiday visa in Japan

Hi everyone, im a student from Norway who wants to travel to Japan after my studies are done, from what ive seen the work holiday visa seems to be the best option. But when i look at the finances i get a bit worried, from what i can find online a new mechanical engineer makes 3,3 million yen, but yearly living expenses seem to be 3,8 million yen yearly.

I guess i really have 2 questions, does the salaries and living expenses seem correct? And would i be able to work a remote job based in Norway?

Thanks in advance!