I would like to say yes but I cannot find solid Biblical evidence for it.
I will say, in my dreams I often see my parents and even some of my pets; all of whom I loved very much.
One seemed to be a mansion with my father there and a separate dream like that regarding my mother.
It is basically part of my daily prayers to be with all of them during the Millennial Reign of Christ and on into eternity.
🛐🙏✝️
20 Bible Verses about Pets In Heaven
https://www.openbible.info/topics/pets_in_heaven
As another poster commented, Jesus will return riding a white horse, answering the question of whether animals are in Heaven, and evidence of His pet specifically. As for our own personal pets, I believe they will be there as well, as a way to ensure our complete happiness. While the Bible may not answer this question explicitly, I believe there is more than enough circumstantial scripture for us to believe it is as He intended. Thanks.