Ok, Note that you should have an error message, at least saying "no shipping method available", that issue is probably coming from your template. So you'll find the solution
there
:
HikaShop uses the core Joomla messaging system to display messages on your website so if you don't see any message when you don't enter correct information during the checkout process, that's probably because your Joomla template does not contain the tag to display Joomla messages: <jdoc:include type="message" />
So, can you do it and tell me if it display an error message through your checkout process ?
Thanks.