Oh, Contraire!
When I taught physics I regularly demonstrated COLD BOILING WATER!
First I would put some water into a flask, stopper it, then pump out the air. Putting some dry ice against the side of the flask condensed water vapor in the flask, further reducing the internal pressure until it dropped below the vapor pressure of water at room temperature, causing the water inside to boil. You can use water-ice to cause boiling by first bringing the flask to a boil, causing steam to displace all the air. Then stopper it and put an ice cube against the side. The water insde will boil even when it is at body temp (37C) or slightly lower.