Since intelligent design is just artificial selection, and since we're most likely to be artificially selected for, then you can say we've been subjected to intelligent design. Since most animals on earth are artificially selected for by humans, the chance of any one random animal on earth not being under artificial selection pressure is very unlikely. Even humans are under this pressure since humans, intelligent agents, exert artificial selection onto other humans. Does this imply you're a product of intelligent design?
Since most animals on earth are artificially selected for by humans
Evolution works over many millenia, hence its important to think of a time framing. If one was to think of the current epoch, then your phrasing would be right, and this is why the Anthropocene is being considered currntly by International Geological Congress as an epoch of geological time; however, when we consider the whole fullness of time where life has existed on earth, then of course most life have not been subjected to dirct selection pressure by human.
At bottom, all selection pressure is natural. The distinction between artifical and natural is itself an artifical one. Consider a bird, it builds a nest as a home, we do not consider the nest as somehow un-natural to the bird and to nature; they are both natural. However, when come to the urban environment, it's often considered artificial, and to be put against nature itself. Yet it is natural to the human animal to build its habitat as ants do theirs, as do beavers or the very birds.
Does this imply you're a product of intelligent design?
There's no proper argument made, so one can't consider the implication made here.