Yeah it's possible...
You would just take the various genre IDs and implode them into a single string, and store that value.
$genre[0] = "1";
$genre[1] = "2";
$genre[2] = "3";
$genres = implode(",", $genre);
echo $genres;
// OR
$genre1 = "1";
$genre2 = "2";
$genres = $genre1.",".$genre2;
Although the better route would be to store each genre ID separately if you want to do a query on it. It becomes more difficult if you are trying to search the field when it has them stored like this.