Not really. Some items are more likely to drop for a certain class despite being equippable for any class.If that is the case, that would be fucking stupid. Should be the same for all classes.
An example is Sash of Knives. It can be equipped by a Monk but as a drop it's far more common to see it drop for a DH than a Monk.
Of course nothing is absolute in this game. I can be playing Monk and a Barb class set can drop for me (actually I was playing a Monk and a DH set dropped for me which resulted in me trying out a DH after while I got a slew of good DH items so I stuck with the class for a bit). It's all about the weighted RNG in the game and it definitely does have weighted RNG (or I guess Blizzard refers to this as Smart drops).