Hi,
What is the underlying requirement in your scenario? Generally you need transmit and receive to get a link up event. In addition data exchange needs all OSI layers and that means in an IP environment that communication will take place between two IPs. As your server has different IPs on the two different NICs this rules out your "one-way" requirement. So the answer to your original question is: "No, not in a normal IP environment".
So once again, what do you want to achieve with this setup? Maybe there is another solution not requiring "one-way" communication.
Regards, Martin