Does OGO support stores who use Afterpay/Zip Pay?

Yes, you can, as long as the order status changes to 'Paid' once a customer completes their purchase. This is usually the case with Afterpay and Zip Pay.

OGO will invoice you as a supplier for the cost of goods within a day of payment. So you'll need to ensure you have funds available to pay for the order as After Pay and Zip Pay may take a few days before they give you your customer funds.