No, humans cannot mate with any other species. While there are examples of crossbreeding between closely related species, such as wolves and dogs, humans are genetically distinct from all other animals. This means that human DNA is incompatible with the DNA of other species, preventing successful fertilization and the development of offspring.
However, it's important to note that humans have interbred with other hominid species in the past. For example, humans have shared a common ancestor with Neanderthals and Denisovans. These ancient hominids interbred with early humans, resulting in a small percentage of Neanderthal and Denisovan DNA found in the genomes of modern humans today.
This interbreeding, however, occurred between species that were closely related and shared a recent common ancestor. It doesn't mean that humans can interbreed with other species, such as apes, or animals belonging to different orders or classes.