No it is not. Although every living thing has a soul, humans are unique thus far as we know in that they have an IMMORTAL soul. With animals the soul also dies with the animal.
Yes I know, I was kidding, but yeah, I don't believe animals will go to Heaven either... though I have heard some think that God will create new ones there.
However naturally one need not be concerned about not seeing their pets again. If one achieves the beatific vision one would be immersed in a perfect love and not require the comfort of their pets. If they are in hell... well you wouldn't be caring for anythign would you.
True...