Hi Christoph,
Yes, you can achieve that by customizing the header block of template:
1 - Open the file: /templates/ja_mono/tpls/blocks/header.php
2 - Load the position for language switcher module:
<?php if ($this->countModules('languageswitcherload')) : ?>
<!-- LANGUAGE SWITCHER -->
<div class="languageswitcherload">
<jdoc:include type="modules" name="<?php $this->_p('languageswitcherload') ?>" style="T3Xhtml" />
</div>
<!-- //LANGUAGE SWITCHER -->
<?php endif ?>
just before closing tab of head
3 - In admin panel >> Extensions >> Modules >> assign your language switcher module to this 'languageswitcherload' position
4 - Of course, you will have to customize style for this module also.
Regards