Hello,
Okay, so it means that there is no incompatibility of the "upload" lib with Safari.
So I think that you have some javascript errors in the front-end page and the "uploader" is not initialized (which means that you should see the HTML upload field in the page).
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.