Hi,
When trying to use the "add to wishlist" button, are you logged in or trying to add as a guest ?
If it is as a guest, it can't work, you need to be logged in, but a message should be displayed, if it is not that's maybe because your template does not support system message.
Please try with the default Joomla template. If you have the same issue with the default template or when registered so yes you can send us backend access to your website via our contact form with a link to this topic in your message.
www.hikashop.com/support/contact-us.html