no i don't think rob and taylor hate each other at all - but i think there may be a bit of competition because rob isnt in much on new moon and taylor is, so rob may not get as much attention - still i don't think this will cause them to hate each other, they are both co-stars so chances are, there probably friends
Off screen, Taylor and Rob get along great. If they didn't, I'm sure they would never have done so many interviews together. Taylor has even stated that 'Rob is a great guy to work with' Cool!