As far as I know, there is no plugin for that. You can use this function to rank (blogs in this case) based on the number of likes.

function blog_get_page_content_popular($guid = NULL) {

$return = array();

$options = array(
        'types' => 'object',
        'subtypes' => 'blog',
        'limit' => 10,
        'offset' => $offset,
        'full_view' => false,
        'pagination' => TRUE,
        'annotation_names' => 'likes',
        'annotation_values' => 'likes',
        'order_by' => 'annotation_calculation desc',
        'calculation' => 'count',
);

$list = elgg_list_entities_from_annotation_calculation($options);

thank you for the answer