Why not? Do you think that a system designed to hone an art of making you believe that its performances of expressing various emotions are genuine, while having no analogs of human emotional circuitry, does, indeed, experience all those emotions?

That is something very complex, but in the end solving not a problem of survival, self-development and so on and so forth, but a problem of producing believable and pleasurable to you movements and vocalizations in response to various stimuli.