On October 24, President Joe Biden told the New Hampshire Secretary of State that he won’t file to be on the 2024 Democratic presidential primary. Although the date of the New Hampshire presidential primaries hasn’t been set it, it will be earlier than the Democratic presidential primary in South Carolina. The Democratic National Committee has already decided that South Carolina should be the first Democratic presidential primary, so the New Hampshire primary date will violate party rules. See this story.

New Hampshire allows write-ins and no one needs to file a declaration of write-in candidacy in order to have write-ins counted. It is extremely likely that there will be a huge write-in vote for Biden, and those votes will be counted.