or a dinasaur giving birth to a bird
or a monkey giving birth to a human
That is not what evolution teaches. No monkey ever gave birth to a man. Just as no chihuahua ever gave birth to a Great Dane. But both dogs can trace their lines back to a wolf species that was domesticated by early man.
What evolution teaches is that a large population of proto-primates split into two and speciation began. during and after speciation, one group started looking and acting more and more momkey-like, while the other started looking more and more ape-like, and their tails got shorter and shorter until they had no visible tail at all. During this time, both groups split into more and more species, the one eventually producing all of the different monkeys we know today, and the other producing the lesser apes and the greater apes. In each case, each split produced new species that did not interbreed with any of the other species.
At one point, one branch of lesser apes gave rise to a larger breed of ape. Some of these apes left Africa and ended up in the islands off of Southeast Asia. These would eventually become orangutans. Another branch became too large to live comfortably in the trees, and eventually became gorillas. The third group started the changes that would result in chimpanzees. But there were two more splits. One group reached the edge of the rainforest and lived on the plains by day returning to the trees only for safety while sleeping, while the other stayed in the jungle, eventually becoming chimpanzees and bonobos. The group on the plains eventually moved deeper, giving up the safety of the trees of the jungle. Theylearned to use tools, and to change the environment to fit them, even as the environment continued to change them. The population split a few times, resulting in several new species. But only one species survives today, Homo Sapiens.
Chimpanzees and Man are classified as two separate genera, mostly as a concession to Christians who cannot accept that we are so closely related. By rights, by all of the markers we use to determine genus, we should be the same genus. Our DNA is much closer than that of different species in other genera, even some that can still be interbred. That suggests that a human/chimp hybrid might at least be theoretically possible. Not that any ethical researcher would seriously explore testing that idea.