Scott, it seems extremely probable that a hybrid is not only possible but has probably been created at numerous points throughout history. We know the USSR experimented with the concept, and after hearing the information in your clip about the government primate research center and how the founder wrote extensively about his desire to create such a being, I think it's safe to say that it's probably been attempted here as well.
It's my opinion that Oliver is probably an example of just such a being. In Japan he was confirmed to have 47 chromosomes, the number between the chromosomal count of a chimp and a man. Decades later an animal testing firm that routinely kills animals produced a chimpanzee that was claimed to be Oliver and DNA results concluded that it was a regular chimpanzee. In every other instance differing DNA results indicate different specimens, but in this one isolated case a differing result is interpreted to mean Oliver is a regular chimp even though the obtained specimen exhibits none of the peculiar characteristics that Oliver did several decades earlier.
It's my opinion that Oliver probably died in lab testing, and the firm did not want to deal with the social and potential legal repercussions of having killed an animal that was half human, so they produced another specimen. To me this seems the most likely explanation considering that we have DNA results that indicate the animal in question is not the same one that was tested in Japan.
Thanks for the clip Scott. This is an area of science that most people are uncomfortable with, but I think it's important that this information be part of the common awareness.