Well, this is possible, but only with a customization to one of the plugin files:
1. Make sure to have a back-up.
2. Open up the wp-content\plugins\ajax-search-pro\includes\views\results\no-results.php file on your server via FTP
3. Change it's contents to this: https://goo.gl/NJXkVk
4. Save the file.
Line 30 in this file contains what is printed, there is the search phrase included as well, variable named $_POST['aspp']. I have added escaping measures as well for maximum security, before it is printed.Best,
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