Sure. Especially if humans destroy Earth’s ability to support human life, or other foolish catastrophes we seem intend on creating for ourselves.
Even if we don’t, there will be other species around and they will adapt to us.
However, I think your question begs examination of the term “intellectual” and the perspective from which someone would evaluate it. Humans tend to judge intellect based on human thought patterns and values.
Meanwhile, our cats judge us based on their thought patterns.
From some perspectives, some animals may already be smarter than we are. (Certainly from an environmental conservation perspective, we’re about as dumb as they come.)
If you are interested in actual animal intelligence, I recommend for your consideration the book Are We Smart Enough to Know How Smart Animals Are?