I suppose another way to ask it is, is it possible for a computer to feel?
What we define as feelings is something that's determined by our brain structure, chemistry (ultimately DNA). Anything that has a similar brain structure and chemistry, would to some extent experience similar feelings to us (especially the animals we're closest to like chimps and bonobos).
But a machine, made up of sensors and computer chips, even if it was self aware it would have feelings completely alien to us. It's a kind of arrogance that we have that makes us think the feelings we feel must be universal, as opposed to something that's just unique to us and created by our biology. It is possible for a AI to feel, but it's impossible for us to be able to feel the things an AI could feel, and likewise for them with us.