May a person who lives in Norway apply for a visitor visa on my behalf?
No. It is you (the applicant) who must apply for a visitor visa from your home country or the country of residence.
A reference person, i.e. the person you are going to visit, or possibly someone else, can help you with the first part of the application process, which is to register the application online. The second part of the application process, which is to submit the application documents, must be done by you.
You can read about how to apply for a visitor visa here.