Yes you can, but not always.
Baopals is only able to provide fapiaos from Trusted Sellers (Tmall sellers). This is because many taobao sellers simply do not offer fapiaos or charge additional fees. All fapiao requests must be made within 6 hours of placing your order as fapiaos are almost always packaged with your purchased item. If the seller has already shipped your item, the seller will be unable to include your fapiao.
You may make your fapiao request by replying to your order confirmation email. If no Chinese company name is provided, you will be issued a personal fapiao.