Using WooCommerce for frontend, passing to Vinoshipper for checkout

I'm looking to use WooCommerce for the frontend of my site and pass off to Vinoshipper only when at checkout. I want to confirm, but it looks like I can use the API to add items to a cart session and then direct the user to Vinoshipper at checkout. Seems easy enough? I'm planning on syncing the Vinoshipper product ID's to the WooCommerce store.

Thanks!

Colin