Question: Are Arenaria and Sciadopitys verticillata part of the same family? 

Context paragraphs:
Arenaria (plant): Arenaria is a genus of flowering plants, within the family Caryophyllaceae.

Sciadopitys: Sciadopitys verticillata, koyamaki, or Japanese umbrella-pine, is a unique conifer endemic to Japan.  It is the sole member of the family Sciadopityaceae and genus Sciadopitys, a living fossil with no close relatives, and known in the fossil record for about 230 million years.

Supporting paragraphs: Arenaria (plant) Sciadopitys
Answer: no