Restrict certain posts from being sent to the feed subscribers

Simple answer is yes you can. 🙂

First check out WordPress’s codex here on their RSS feeds. http://codex.wordpress.org/WordPress_Feeds

Then what you can do is change the default head rss links that let browsers know that there is an RSS feed.

In your theme find:

<link rel="alternate" type="application/rss+xml" title="RSS 2.0" href="https://wordpress.stackexchange.com/questions/70834/<?php bloginfo ("rss2_url');?>" />

And replace the href="https://wordpress.stackexchange.com/questions/70834/<?php bloginfo ("rss2_url'); ?>" with an alternate rss feed link as explained in the WordPress Codex.

You will want to do it also for the Atom Feed and the regular rss feed as well which are right below the first link i posted above.