That is unlikely. Humans have only been around for 200,000 years as Homo sapiens. Our ancestor, H. erectus, was around for 1.8 million years before becoming extinct. However, H. erectus and Neanderthals were outcompeted by us, so if no other species evolves from H. sapiens, we may be stay around for a lot longer, perhaps as long as the coelacanth, which has not changed much since about 65 million years ago.
The earliest dinosaurs were very different from the ones that were around at the end of the Cretaceous. The reason is that the environment changes and species go extinct if they fail to adapt and new ones evolve to replcae them. Humans also evolve but not enough for a new specie sor even subspecies to be recognized. The ice ages for example resulted in the appearance of cold adapted populations in Euripe and Asia. They have such cold adaptations as shorter arms and legs, ligher skin tone, talller and narrower nose bridges, more facial and body hair, rounded torsos, more fat under the skin, thinner lips, slight larger eyeballs, and slightly larger brains. Since environmental changes are unpredictable, we do not know how humans will evolve to adapt. If global warming continues, some of these adaptations to the cold may disappear because people having them may suffer heat stroke more easily.
Besides environmental changes, catastrophes can make us extinct. All it takes for humans to become extinct is for a giant meteor to strike the earth. That was how the dinosaurs were completely wiped out. The survivors of that mass extinction were able to survive because they were either spending a lot of time underground (e.g. shrew-like mammals, lizards, toads, snakes, salamanders) or they spent a lot of time in or near the water (e.g. fish, shorebirds, crocodilians, the platypus, crocodilians, newts, frogs, turtles). In fact there were a lot of crocodilians that were land animals during the age of dinosaurs, and none of them made it because they had no place to hide from the heat generated by the impact. Since heat rises, animals that were underground at the time of the impact were safe because temperatures below the ground did not rise to the oven-like temperature above the surface. Being near the water was safe too as water takes a lot of energy and a lot of time to heat up. There are people who claim that the dinosaurs were wiped out by nuclear winter, when the dust in the atmosphere blocked out the sun and prevented photosynthesis. The truth is that all dinosaur fossils found are covered by a layer of soot, which is the result of the world wide forest fires ignited by the molten rock thrown up into the atmosphere and falling back down to earth. None was found above the layer of soot. That means before the fires have stopped burning, all of the dinosaurs were gone. Not only large animals are affected. 100% of the enantionrithine birds, the dominant land birds of the age of dinosaurs, were completly wiped out. All living birds are ornithurine birds, and all of them evolved from the shorebirds that survived by being on or near the water. That means unless some humans happen to be living underground at the time a meteor strikes the earth, and they have enough food to survive after the impact, humans will likely become extinct, even if we do not become extinct due to other causes.