Can dry ice in a liquid poison you?

I remember hearing a long time ago that putting dry ice into a liquid that is then consumed by people could potentially poison them. I was just looking at Halloween drink recipes and a few of them used dry ice in the liquids that people were drinking.

So, can putting dry ice in a liquid (say, punch) and then drinking that liquid poison you? Or ws this information wrong?

Please note, I do not mean that the carbon dioxide that's released into the atmosphere can poison you, I mean the physical consumption of the liquid that the dry ice was put in.