Yes. There is the possibility. You can clearly assume with above picture. Though this is the picture from one of the zoo near my locality. But this doesn't change the fact that they are enjoying each other loving behaviour and living in harmony. Not only the animal of same species have love towards each other. There might be relation between two different animals too.
The monkey is sittng on the back of deer. But the deer is doing nothing in response of that . It might be enjoying that someone has climb in his back and helping it to scratch his back where it was itching 😂😂