You can definitely love someone you dislike.
To quote a song, "Love is a verb. "
Dislike in an emotion but love is a decision. There are times I don't like my wife. But then I get over it and we continue on our journey together. That is love.
In sickness and health,
In good times and bad.
Whether we are mad at each other or not,
Forsaking all others,
Until death parts us.
Emotions come and go but Love?
Love remains...
"Love is patient, love is kind and is not jealous; love does not brag and is not arrogant, does not act unbecomingly; it does not seek its own, is not provoked, does not take into account a wrong suffered, does not rejoice in unrighteousness, but rejoices with the truth; bears all things, believes all things, hopes all things, endures all things.
Love never fails"
1 Cor 13:4-8