Is it possible to have different price and currency per product and per store view?

First of all you can't have different prices for stores but only for websites (unless you use one of the custom extensions which extends this functionality). This also has to be enabled System > Configuration > Catalog > Catalog > Price.

Then you can't show different currencies in admin, only at the frontend.

So what you shall do is to create 2 websites, set different currencies for both and in admin enter both prices in base currency using conversion rate (e.g. £99.99 for WbsiteA and £84.64 for WebsiteB. At the frontend £84.64 will be converted into €99.99).

You could set different prices for different store views and currencies (custom price not a conversion rate) with Advanced Pricing extension: http://www.magentocommerce.com/magento-connect/advanced-pricing-3001.html