Damn right. Any account I've read suggests that Shakespeare wasn't some tortured emo who stared wistfully at a vase of roses for inspiration, he was a storyteller. Flowery writing and over-the-top symbolism is all well and good but you don't become as famous as he did if you're a one-trick pony. He wrote what people liked and, well, people love a good laugh and a punch-up in between the love scenes, and Shakespeare delivered exactly that.
Romeo & Juliet includes a scene of Romeo and Mercutio basically exchanging "Do you know how I know you're gay?" jokes. Hamlet pulls a "Rocks Fall, Everyone Dies" moment just for the hell of it. No One Special just gave a fairly accurate summation of Othello being about a guy with the wrong idea about his ladyfriend. Hell, even his less popular stuff like The Tempest has its moments, like two fellas roving about a desert island pissed as parrots, linking up with the play's equivalent of Igor the Manservant (who somehow decides the drunkards are from the Moon), before the inebriated trio decide to launch a spectacularly ineffective revolution against... well, they're not quite sure, but it's against someone!
Sure, when he got his lead up, Shakespeare could spout purple prose like nobody's business, there's no question about that. It's just that he also loved fight scenes, dick jokes, and literally just making up words for the hell of it because fuck it, writing's too hard to bother about using the correct one when you can just spout gibberish and you know nobody's gonna call you on it. And if you try to read Shakespeare as anything other than a guy with a sense of humour telling a story to entertain people, you're missing out on a lot of the good stuff in his work.