How flexible is woocommerce for changing its aspect?

One of my customers has a woocommerce website and is annoyed with the aspect of the shopping and checkout process, so we are looking for alternatives to make it more simple and appealing for non expert visitors.

I have collected some Prestashop and Thirtybees demos and she liked them, so I was wondering if it is possible to change woocommerce flow processes to look like the Prestahop or Thirtybees ones