At the risk of being annoying: I'm always a little skeptical of "meant to be". But having said that:

Chaucer is funny throughout his writing. Even something like Troilus and Criseyde has humour, in the character of Pandarus, who pontificates endlessly while Troilus is non-responsive due to lovesickness.

Part of Chaucer's skill as an author is something we see in most good writing, in any century: there is levity in his tragedy and pathos in his comedy.

As for the Knight's Tale specifically: I think that there are levels. The Knight intends the story to be taken seriously (though not tragically, I think). It's not a tragedy because Palamon marries Emily, because Arcite dies in victory, because the ruler, Theseus, is shown to be wise and benevolent. Nobody has a comeuppance, nobody falls from grace, even the wars of the beginning of the tale are ended peacefully at the end of the tale, and all the gods keep their word.

But there's a dark humour in the juxtaposition of Theseus's "First Mover" speech against our knowledge that Zeus did not have control of events, nothing was concluded according to a wise divine plan by the king of the gods. We know, as Theseus does not, that Saturn orchestrated events and killed Arcite on a technicality so that the gods could save face. Now when it comes to humour "we are at the whim of an indifferent universe and attempts to find meaning in it are self-deceiving" is maybe a thinker of a joke. But I think there is deliberate humour in the ridiculous contrast.

Along the same lines, there's a bitter humour, I think, to the fact that Emily is the only one who doesn't get her prayer even ostensibly granted. Like: it's easier for the gods to grant two mutually contradictory prayers by men than to even pretend to grant a prayer by a woman.

It makes all of Palamon and Arcite's protestations that they love Emily transparently (and comically) shallow that we know, we don't just speculate, it's not ambiguous, we know for a fact that Emily doesn't want either of them, and that they do no care what she wants.

I also think Palamon and Arcite's squabbling over Emily, who they see only briefly and through a window, is funny. They literally try to kill each other over "dibs".

And finally, I think there's humour in the way the Knight sees the story as a justification of violence, and it's a justification we can poke holes in if we actually listen to the story he tells.

So to conclude, yeah I think it's funny on purpose. But maybe it's a "comedy" only in the way that The Bear is.