There is no species that is a "link between chimps and man" per se --> what is more correct is that chimps (genus PAN) are, what you may call "fourth cousins" to Homo Homo Sapiens (humans)
Modern Humans (Homo homo sapiens) and Chimps had a common ancestor millions of years ago
Within the "Homo" genus, we have homo sapiens and homo neanderthalensis - which could to some extent interbreed (most results were sterile, but not all) - which is why all NON-sub Saharan AFRICANS have some levels of Neanderthal genes.
No, they weren’t sterile. The amount of known Neandertal DNA in living humans is roughly the same about they get from a great-great-great-great-grandparent.
Regards,