Yes, Barion has a sophisticated payment reservation (escrow) feature. A reservation (escrow) payment scenario means that upon charging the funding source of the payer, the money is not immediately handed over to the merchant. Instead, it becomes reserved (blocked) for a given period of time. During the reservation period, the merchant can decide to finalize, partially finalize or cancel the purchase. This comes in handy in situations where goods or services are not immediately available at the time of purchase, or might become unavailable by the time of shipping/fulfillment.

You can read detailed explanation about this feature at: https://docs.barion.com/Reservation_payment.