No, I'm afraid he is completely wrong. You can use 'are having' in this way when you are referring to an event or something that will happen. For example 'we are having a party'.
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TeoWe are having a new house.I'd use "getting". Never heard it with "having".
I don't think the above sentence is acceptable. But a Chinese teacher of English says that the above sentence is acceptable and that it means "We will have a new house soon." Is he right?