Don't allow in stock items in cart, if an out of stock item is in cart?

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We currently allow purchasing of out of stock items.

Is it possible, that once a person adds an out of stock item to their cart, to then restrict them from adding in stock items to their cart? Basically we want it so that if someone purchases an out of stock item, they can only purchase that item. We do not want mixed orders of in stock and out of stock items.