There are a couple of ways to do it. Try:
<?php if ( get_post_meta($post->ID, 'author-photo', 'author-name', 'author-bio', true) ) { ?>
<div class="authorbox">
<div class="authorphoto">
<img src="https://wordpress.stackexchange.com/questions/200118/<?php $key="author-photo"; echo get_post_meta($post->ID, $key, true); ?>" />
</div>
<div class="authorbox-content">
<h3 class="author-name"><?php $key="author-name"; echo get_post_meta($post->ID, $key, true); ?></h3>
<p><?php $key="author-bio"; echo get_post_meta($post->ID, $key, true); ?></p>
</div>
</div>
<?php } ?>
<?php else { ?>
<?php if ( get_post_meta($post->ID, 'author-name', 'author-bio', true) ) { ?>
<div class="authorbox">
<div class="authorbox-content-nophoto">
<h3 class="author-name"><?php $key="author-name"; echo get_post_meta($post->ID, $key, true); ?></h3>
<p><?php $key="author-bio"; echo get_post_meta($post->ID, $key, true); ?></p>
</div>
</div>
<?php } ?>
<?php } ?>