Is it possible to show sort page excerpt in search.php

Yes, you just have to call the function the_excerpt():

Right after …

<a href="<?php the_permalink(); ?>"><?php the_title(); ?></a>

… you add:

<div class="search-excerpt"><?php the_excerpt(); ?></div>

And then you can style it in your CSS file with:

.search-excerpt
{
    /* some code */
}