How do I create a shareable URL for a checkout page with specific products from the Woocommerce API?

Question

I am looking to be able to programmatically create a checkout page with specific products and coupons in the cart, how do I achieve this?

I have read through the Woocommerce API documentation. I can see it is possible to create an order through the API, but this does not allow the frontend consumer to checkout with their own payment methods etc.

WooCommerce.post('orders', data, function(err, data, res) {
    console.log(res);
});

I am looking for something similar to the Shopify API "Draft Order" - https://help.shopify.com/en/api/reference/orders/draftorder

Any help or guidance to something similar would be helpful!