This only works with Instagram public data. It gets all the pictures for the specified year and returns the best 9 (based on number of likes).

instagram.js

const getBest9PostsFromYear = (userId, after, year, media = []) => {
    const jsonDataUrl = `https://www.instagram.com/graphql/query/?query_id=17888483320059182&id=${userId}&first=50`;
    const instaUrl = `${jsonDataUrl}${after}`;

    return fetch(instaUrl)
        .then(response => response.json())
        .then(({data}) => {
            const currentData = data.user.edge_owner_to_timeline_media;
        
            const lastMediaYear = getMediaYear(currentData.edges[currentData.edges.length - 1].node.taken_at_timestamp);
        
            const hasNextPage = currentData.page_info.has_next_page;
            const cursor = currentData.page_info.end_cursor;
        
            const moreResults = hasNextPage && lastMediaYear > year - 1;
            const newMedia = currentData.edges.filter(media => getMediaYear(media.node.taken_at_timestamp) === year);

            const updatedMedia = media
              .concat(newMedia)
              .sort((a, b) => b.node.edge_media_preview_like.count - a.node.edge_media_preview_like.count || b.node.edge_media_to_comment.count - a.node.edge_media_to_comment.count)
              .splice(0, 9);


            if (moreResults) {
                return getBest9PostsFromYear(userId, `&after=${cursor}`, year, updatedMedia);
            }
      
            return updatedMedia;
    });
};

const getMediaYear = date => new Date(date * 1000).getFullYear();

const fetchMedia = (year) => {
    const userId = "put-the-user-id-here";
    return new Promise((resolve, reject) => {
        getBest9PostsFromYear(userId, "", year)
            .then(response => resolve(response))
  })
}

fetchMedia(2020);