Is TurboTax able to file my Norwegian taxes and my Canadian taxes from this website? I'm permanent res. of Canada living and working in Canada, my citizenship is Norway.

No. The Canadian version of TurboTax can only prepare tax returns for the Canada Revenue Agency here in Canada.

Ok thank you. Would you know by chance if i can do my Canadian taxes on here and then my Norway tax somewhere else and not get dbl taxed?

Norway and Canada have a tax treaty together, which means that you will not be double taxed. You can read the details on the tax treaty here: https://www.canada.ca/en/department-finance/programs/tax-policy/tax-treaties/country/norway-convention-1966.html

Thank you I'm headed to that link now to read it.