It is possible to generate breadcrumbs out of the structure. Be warned, it is messy:
<a href="{{ site.root_item.url }}">{{ site.root_item.title }}</a></li>
{% for item in site.menuitems %}
{% if item.selected? %}
> <a href="{{ item.url }}">{{ item.title }}</a>
{% if item.children? %}
{% for level2 in item.children %}
{% if level2.selected? %}
> <a href="{{ level2.url }}">{{ level2.title }}</a>
{% if level2.children? %}
{% for level3 in level2.children %}
{%if level3.selected? %}
> <a href="{{ level3.url }}">{{ level3.title }}</a>
{% if level3.children? %}
{% for level4 in level3.children %}
{% if level4.selected? %}
> <a href="{{ level4.url }}">{{ level4.title }}</a>
{% endif %}
{% endfor %}
{% endif %}
{% endif %}
{% endfor %}
{% endif %}
{% endif %}
{% endfor %}
{% endif %}
{% endif %}
{% endfor %}