Yes, that is possible. I see that you are using our Shortcode method …
… in which case you should follow the ‘guide to customising’:
https://searchandfilter.com/documentation/search-results/using-a-shortcode/
Once you have a copy of the results.php
file in a search-filter sub-folder of your theme, you can edit that file, like this (leave the PHP comments at the top outside and before this code):
global $searchandfilter;
$sf_current_query = $searchandfilter->get(10265)->current_query();
if ((!$sf_current_query->is_filtered())&&($sf_current_query->get_search_term()==””)) {
// code to display the blog post here
} else {
// the current resuts.php code here
}