Definitely not. TPN is a work of fiction. The author came up with the concepts and storylines independently, without drawing from any true incidents. It's all about creative storytelling and fantasy.
Given only 'dateline karen read story', Karen's identity remains a mystery. She might be a staff member at Dateline who was reading a story for work purposes. Or she could be a person who was interviewed by Dateline and was reading a story during the interview, or she could be an ordinary person whose story - reading experience is being highlighted in relation to Dateline.
I'm not sure exactly how many TPN mangas there are. You might need to check reliable manga databases or the official publisher's information for an accurate count.
It's hard to say for sure. 'Karen' could be a blend of real incidents and creative imagination. Sometimes, such stories take real-life inspirations but are embellished for entertainment value.