It is possible to dislike someone but still love someone. There are a couple family members that I can't stand, but I will always love them. On the other had, if this is about a relationship with someone... Then I wouldn't recommend it.. Lol
In my eyes there are two distinct feelings: 1) Love AND Hate-- both are in the same category because they have deep and very real emotion. 2) Just not giving a damn-- If you just don't care then that's that and there's nothing else to it.