That is happening to me right now.
I am still completely in love with my now ex-boyfriend because he is the one who broke it off so abrubtly.
Yet, at the same time I am so pissed at him for breaking my heart I want him to hurt as badly as I am hurting inside. Thus, my thoughts resort to physical pain because I obviously can’t inflict much emotional pain on him. I’m not going to act these of course. But one minute I am sitting here pining him and the next loathing his guts.
So, in short, yes, it is very, very possible.