Saruman did it first...
"We had many of these half-orcs to deal with at Helm's Deep."
It is truly disturbing that they might create a "humanzee."
But (ignoring the whole evolution issue), humans and chimps have very similar DNA (the 99 or 98% figures you see are misleading, we're not quite as close as t).
In fact, humans and chimps are roughly as close DNA-wise than donkeys and horses and certainly "closer" than lions and tigers.
Hence, this abominable experiment is very possible, and, candidly, easy, for anyone with basic knowledge of animal husbandry.
So much for those using the loosy-goosy "potentially interbreeding" definition of species, huh?