Hello,
I think that you would need to perform some customization in your website (CSS, maybe some overrides and template edition) to achieve your goal.
Responsive and displaying element on specific devices is related to CSS and media queries.
Your customization is unfortunately not related to HikaShop features but would more be related to the customization of your menu in your template or via the component you're using for your menu (if you're using one).
In any case, that documentation page would help you to understand the customization of HikaShop :
www.hikashop.com/support/documentation/1...ize-the-display.html
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.