Custom Page Template and Category Exclusion

Try this code in your template.

<?php
/**
 * Template Name: Exclude Comic Category
 */
get_header(); ?>

    <div id="primary">
       <div id="content" role="main">
                <?php query_posts( array( 'category_name' => 'comic', 'paged' => get_query_var('paged'), 'posts_per_page' => 5 ) ); ?>
        <?php if ( have_posts() ) : ?>

            <?php twentyeleven_content_nav( 'nav-above' ); ?>


            <?php while ( have_posts() ) : the_post(); ?>

                <?php get_template_part( 'content', get_post_format() ); ?>

            <?php endwhile; ?>

            <?php twentyeleven_content_nav( 'nav-below' ); ?>

        <?php else : ?>

            <article id="post-0" class="post no-results not-found">
                <header class="entry-header">
                    <h1 class="entry-title"><?php _e( 'Nothing Found', 'twentyeleven' ); ?></h1>
                </header><!-- .entry-header -->

                <div class="entry-content">
                    <p><?php _e( 'Apologies, but no results were found for the requested archive. Perhaps searching will help find a related post.', 'twentyeleven' ); ?></p>
                    <?php get_search_form(); ?>
                </div><!-- .entry-content -->
            </article><!-- #post-0 -->

        <?php endif; ?>

        </div><!-- #content -->
    </div><!-- #primary -->