The easy answer: yes.
But where to begin?
I’d also suggest the easily accessible (and newest horror comic creator) Emily Carroll. You can read most of her comics for free on her website, but begin with the comic that most exemplifies her style and claim to fame: His Face All Red.
To chime in with @WillCarper and @WarrenB, Junji Ito is a must read. His Uzumaki series is fascinating and disturbingly well done. Personally, I didn’t find it as scary as his Tomie collections, but if you want a small taste of his nightmare world, try this short The Enigma of Amigara Fault.
A really underrated horror series is Beasts of Burden by Evan Dorkin and Jill Thompson. Although it has one of the most cheesy and comical premises (a group of pets investigate a series of occult happenings in the town of Burden Hill), the standalone stories are unimaginably dark and terrifying. Dorkin’s storytelling skills really pull the reader into the character’s suburban world, while slowly inching into the macabre. And watch out for Thompson’s art. It doesn’t bark. It bites!
If you’re into gothic horror, try Ragemoor by Jan Strnad and Richard Corben. Somehow it manages to conjure the spirits of Poe and Lovecraft exceedingly well, while staying fresh.
If you want bloody, visceral carnage, go for the first volume of Garth Ennis’ Crossed. I admit, I was immediately reluctant to try this series because of the gutwrenching art on the covers, but I’m so glad I stuck it out. Ennis will wow you with this survival story and his page turns are captivating.
Finally, if you haven’t done so already, read Alan Moore’s The Saga of Swamp Thing. Not only is issue no #21 a near perfect revamp, but it’s a mighty fine horror-revenge tale (well written, well paced, well done). And the proceeding issues only get better from there.
There’s plenty more horror comics I could mention. But I strongly suggest starting with these (check out your local library–chances are they own a few).
So… yes, horror comics work. And they’re very much alive and screaming