No, dinosaurs did not exist 1,000 years ago. Dinosaurs went extinct around 65 million years ago during the Cretaceous-Paleogene (K-Pg) extinction event. This event wiped out the majority of the dinosaurs, allowing mammals and other organisms to thrive and evolve.
1,000 years ago is relatively recent in geological and paleontological terms, and by that time, dinosaurs had long been extinct. Human civilization, including ancient civilizations and historical periods, existed during this time, but they did not coexist with dinosaurs. Dinosaurs were part of the Earth's history millions of years before the appearance of humans.