What I mean is... if I passed the following into do_shortcode() could I get access to the HTML in this?

<p>First paragraph</p>
[shortcode1][/shortcode1]
<p>Another paragraph</p>
<p>Another paragraph</p>
[shortcode2][/shortcode2]

My hope would be to have two blocks of HTML to play with:

<p>First paragraph</p>

and

<p>Another paragraph</p>
<p>Another paragraph</p>

Almost like if I could call a function called do_html() or do_content() and process these chunks.