According to the latest researches and studies it is being believed that the Dinosaurs and Human Coexisted. However some of the modern scientists still don’t believe the Coexistence.
Some of the believers say that even in holy Bible it has mentioned that “every thing that creepeth upon the earth after his kind” was created by God on Day Six of the creation week (Genesis 1:25)—including dinosaurs and on this same day, the first man and woman were also created (Genesis 1:26-27).
So i think one can believe that someday both of these species used to live together.