It did happen but not to this extent. The first episode was filled with it. It was only until he was close to actually changing the past did forces try to stop him. Most of the book was about him living his life in the late 50s/early 60s.
Bad excrement happened though. I read it a few years ago, but I remember a lot of obstacles getting in Jake's way when he tried to save Sadie from her husband.
Like in the book though, It was clearly a presence in the story. He even spoke with Ritchie and Beverley and something was killing children there. It possessed Frank Dunning and Lee Harvey Oswald. That would be really hard to explain to people that haven't read a lot of King, so I think they've replaced it with a malevolent past.