Nooooooo!
According to the law of natural selection, all you're doing is hastening the point at which the little buggers will do their dastardly deeds under the cover of darkness with ninja-like stealth and precision.
I guess that could be a few thousand years from now though... so, no harm, no foul and good to see there's one less rat bastard on the prowl.
Many moons ago, my biology-major roommate chastised me for killing a cockroach in our apartment by stomping on it while it was on the run across the kitchen floor...
"Don't do that... they'll just get faster." Said it with a smirk. Took me a few seconds, but I finally got it.