It is absolutely possible to love people without liking them. Likes and dislikes are based upon our perceptions, our biases, our attachments and even our needs and expectations, which, in any case, keep changing. They are also linked to our own emotional instability, hence our mood swings and state of mind.
Love, on the contrary, is spiritual. It is a deeper knowing of each soul with its journey and purpose; it is ingrained in the energy of compassion and forgiveness coming from inner stability and calmness. We can always send loving and healing thoughts to anyone even if we do not like their personality or habits. They need it the most!