I believe without a doubt you may feel this way but I also have this quote that pretty much sums up why we feel both these emotions

"You know that when I hate you,
it is because I loved you to a point of passion that unhinges my soul"
~Julie de Lespinasse~

Yes, of course. It happens in the best of relationships. Love is what keeps us from killing a loved one when that person does something offensive; hate is what causes us to seek some small or even huge injury when a loved one offends us; but love eventually subdues hate.