The biggest TV homage to the Iron Fist and Power Man comics, is that Luke Cage, Danny Rand, Colleen Wing and Misty Knight spend a lot of time hanging out together. But the relationship between Netflix's Misty Knight and Danny Rand is more like a stern big sister frowning on the dangerous antics of her younger brother.
Things were a little more intense in the comics. Having met Danny Rand through his comic book partner, Colleen Wing, Misty Knight and the Immortal Iron Fist eventually became an item and remained that way for a very long time.
They had a steady love life until a false pregnancy shook the foundations. Turns out Iron Fist's 'life force' within Misty Knight gave a false pregnancy reading. But their love pretty much lived on regardless, and it was certainly one of the less complex and tragic Marvel relationships.