Hi,
Yes you can. The images are in the folder media/com_hikashop/upload, so simply copy them to that same folder on the new website.
It sure is possible to install the Business edition on WAMP. If you have an error when you do, it means that you should modify the settings of XAMP and increase the upload limit/max execution time/memory limit parameters of PHP so that the joomla installer has enough resources to be able to install it. An alternative is to extract the Business edition package in the tmp folder of your website and run the "install from directory" for it as it needs a lot less resources in that case.
Another way to import the products is to export the HikaShop tables from the old website's database via phpmyadmin and import them on the new website's database via phpmyadmin after removing the tables (it requires that you have the same version of HikaShop on both websites).