No, not in the slightest, human life is far more precious than the lives of any pet.
Pets may be dear to us but every pet can be replaced and as sad as that sounds it's the truth. You can literally go to the pet store and adopt a new one but a human being can't be replaced so easily.
A father cannot be replaced in the life of a child and a child cannot be replaced in the eyes of a parent. Yes we form strong bonds with our pets and animals, I should know, I have a few myself but their lives can never matter more than another humans life. Over the course of a lifetime, most people will outlive their pets and get new ones then outlive them again. If you out live a brother, a lover, a cousin or whoever, you can't replace them with someone else.
If a choice was to be made between a pet life and another human being, just remember that a pet can be replaced with another one that looks and will probably behave like the other one, but a human being cannot be replaced so easily.