Depends on the aspect. In terms of a higher level of thinking/problem solving/philosophy and the ability to craft tools and innovate, absolutely.
However I firmly believe that 动物 have humans beat on a few things; physical abilities, body design, and morality.
Physically they tend to be faster, 更多 agile 或者 have a much higher level of strength. Their physical abilities are much better adapt for survival and/or hunting than humans'.
On the same plain, they tend to have less flawed bodies. In the sense that the human body can be unstable. I'm talking things like, biting your own tongue is possible due to the structure of the mouth. Spines are literally pretty weak. And, most famously, the male reproductive organ (aka a really sensitive point) is exposed and ill-protected. Other examples;
link 动物 don't seem to share these issues.
And finally, despite the human ability to reason and use logic. Despite the ability to empathize, humans are senselessly violent. Sometimes 你 can see that in 动物 but usually their violence serves a purpose; survival. They kill only to eat 或者 to secure their bloodlines via mating rituals. Humans are (as far as I know) the one of the only species that kill for sport 或者 vengeance.
That said, humans also have the ability to be 更多 compassionate in a way that some 动物 aren't. Humans can 显示 affection in different and creative ways and can empathize and sympathize in 更多 complex manners. They can express compassion in 更多 elaborate ways.