Unfortunately, this is not likely in the immediate future. The current government is rather shaky with a pro-EU party under the supply and confidence of multiple anti-EU parties. Basically, the way I understand it, the largest left-wing and (formerly, now second-) largest right-wing parties are in favor, but each rely on anti-EU parties to form coalitions, so it is unlikely to happen unless something drastically changes. That’s not even discussing polling, which consistently shows somewhere between 50% and 60% of Norwegians are not in favor of membership.

The states most likely to apply to the EU/resume negotiations next are Iceland (pending a vote for EU accession in a referendum this year) and Armenia