Hi,
Most of the payment plugins in HikaShop and their payment gateways supports the EUR.
When you go in the menu System>Payment methods and clicks on the "new" button, you'll see a list of all the payment plugins for HikaShop on your website. On that listing, you'll have a column for each currency enabled in System>Currencies and it will tell you if the payment method supports that currency or not.
Stripe is available although not installed by default with HikaShop :
www.hikashop.com/support/support/documentation/251
I don't know when that payment plugin will be available. In 1 month hopefully. We're working on it.