It's not possible to setup different Shipping Origins on a product-specific basis, so that would not work with our USPS/UPS live-rate lookups. However, other calculation methods are available, so you could at least determine shipping fees directly, which could differ among different products.
We can give you more specific instructions if you could explain how much you want to charge for shipping various products in more detail; feel free to post that here or just send it by email to our support staff for a private reply:
https://www.e-junkie.com/ej/contact.php