May I suggest that "an honest Christian," if he or she was intellectually honest (Are not all honest Christians intellectually honest?) might reply that a literal reading of the Genesis creation narratives might be interpreted so that one might think that. 

However, this honest Christian might also continue to say that in modern times, God has allowed humans to better understand the history of this planet through scientific research.

 We know that ancient Hebrews believed that the earth was flat. We also know that they were wrong.  Scientific research has determined that our interpretation that the ancient Hebrew believed that every living thing was created in 6 literal "days" turns out also to have been in error.

We now know that  dinosaurs became extinct millions of years before human beings appeared on this planet. And so, the answer to the question would be: "No, we know that dinosaurs and humans did not live on earth at the same time."