Yes, you can add a widget anywhere. You need to edit the functions file, creating a new instance of a widget area (so it will populate the back end of your site with a widget location), and then you past into the page template file the html/php code that places the widget area where you want it on the page.
Here’s a pretty good tutorial. But it’s preferable to do this in a child theme so that updates to the default theme don’t break your modifications down the road. In that case you might need to create a functions file, start it with
<?php
and then paste in the new function (modified for your needs). You may also need to copy over the page template to modify it.
