Ok, I am not supporting bestiality here. But, I just came to know about a Dogxim, a dog fox hybrid and I had known for a long time that horses and donkeys can breed (to produce a mule). So, I was just curious, can humans breed with any other animals closely related to us?
No, not since Neanderthals, Denisovians and friends went extinct.
Even Neanderthals are a bit of a partial case, since the hybrid males were mostly sterile. We know this from the pattern that Neanderthal genes appear in modern DNA.