You can’t really extend the field method. The excerpt field method internally uses the excerpt() helper which in turn uses the excerpt() method of the string class.
You can create your own custom field method if you want. But why if you can achieve the same with less code/overhead unless you want to adhere to some BEM scheme? Or want to wrap the first paragraph in some container?
Here is a function I used in the past :
<?php
function getFirstPara($string){
$string = substr($string,0, strpos($string, "</p>")+4);
return $string;
}