This depends on your theme. If it has no option for this, you’ll have to do this yourself. Find the template where the author box is generated (presumably single.php
) and copy it to a child theme.
Then make the production of the box conditional to the current category;
if (!is_category (array ('exclude-this-category, another-category-to-exclude')) {
echo '<div class="post-author-bio" itemprop="description">';
....
echo '<div>';
}