Of course! As much as I can bring myself to care about damage output per round, anyway. DPR isn't the only thing that defines a melee character, and--unpopular opinion--it's not even the most important. Or the most interesting.
The thing is: if I've decided to play a monk, I've already made a lot of other decisions before I got to that point. I've already looked at the other character classes, and I've weighed their action economy and damage output, considered the different strengths and weakness, and decided my character's theme and role within the group... and after all that, I still chose to play a Monk. I'm clearly not making that choice based on damage output alone.
So a better question to ask is, what does a Monk give me that the other classes don't? This is all about tradeoffs, after all, and sometimes that trade is for better defensive options. If you're prioritizing damage output alone, you probably didn't choose a Monk (or any other "tank," for that matter. You're probably playing a "blaster" or a "striker.")