Hi,
HikaShop works on windows and linux no problem.
Usually, that problem occurs because of the resources restrictions put in place by your hosting company because the extraction and installation of the package of HikaShop is one of the most intensive process you'll have on your website, because there is a lot of files in HikaShop.
The simplest in that case is to install wamp server on your computer, put your joomla website there either a new website or a backup of it with akeeba backup) install HikaShop on it and then use akeeba backup to backup your website and restore it on your hosting. That should avoid problems with the restrictions on your hosting. Or you could also change of hosting company with less resources restrictions...