You sure can! For any gateways that support the store transaction you can perform an automated export. Check out our list here to see if your gateway is supported, along with our guide on performing the export.
As a courtesy, we can provide one free export per Spreedly customer in order to give our customers the ability to test out store functionality with the gateway. After the first export, we'll assess a fee per export which will also be prioritized behind other exports that don't have a self-serve option.