Selling products on different sites?

Hi,

I would like to ask if anyone knows if its possible to use WooCommerce to sell products on a different site?
Here is my plan:
Create a website to run WooSensei on, and a paid product for different courses. We’ll call this WebsiteA.

But I would also like to create specific websites for the different products I’ll sell. I would like to do this, so I can customize the user experience, url, and SEO for the different products/users. Lets call this WebsiteB.

My question:
Is it possible to use WooCommerce on WebsiteB, to sell a paid Sensei course on WebsiteA?

I would prefer not just to create subdomains, since the domains don’t have as strong a SEO in Google’s eyes. Is there any way to do something like this? What would be required for something like this to work? Or can I somehow directly link from WebsiteB, to a product checkout on WebsiteA?

I know I could just link to the product pages, but that would create an extra step in the user experience, that I’d rather not have (I’m pretty sure I’d lose some sales with the extra page added in the middle).

http://wordpress.org/extend/plugins/woocommerce/