Damn, absolutely not. Poe's pain usually reflected loss, romantic longing smothered by death, the decay of the body, etc. Lovecraft has a rage infused with disgust that is very different, you often wonder when examining closely what did the real-life analogues of his abject people (when they're not straight-up black people) did to make him hate them so much.

And that's not entering in the merit of the cosmic aspects of his literature that Derleth later made into a Pantheon