No, but Harry is *extraordinarily* disrespectful to Snape, at one point apparently screaming obscenities at him and frequently glaring and being rude. Additionally, the majority of Snape's accusations about Harry are, in fact, entirely *true*. I think if Harry could have come up with some excuse to get Snape fired (which Draco more or less had on Hagrid), he would have used it without the slightest hesitation.
Yes, Draco is very antagonistic to Hagrid. If not for that, I'd have almost compared Hagrid's treatment of him to Snape's treatment of *Neville* rather than Harry. Hagrid's rudeness to Draco starts all the way back in PS, at the detention scene. Draco's pretty clearly terrified, and Hagrid all but mocks him for it. At this point, the only thing Draco's done to Hagrid -- besides being Lucius Malfoy's son -- was see that Hagrid had a dragon. Which was a situation where Hagrid was entirely in the wrong and would eventually have had to give up Norbert anyway.
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Yes, Draco is very antagonistic to Hagrid. If not for that, I'd have almost compared Hagrid's treatment of him to Snape's treatment of *Neville* rather than Harry. Hagrid's rudeness to Draco starts all the way back in PS, at the detention scene. Draco's pretty clearly terrified, and Hagrid all but mocks him for it. At this point, the only thing Draco's done to Hagrid -- besides being Lucius Malfoy's son -- was see that Hagrid had a dragon. Which was a situation where Hagrid was entirely in the wrong and would eventually have had to give up Norbert anyway.