Yes, I brought my dog with me to T and one of my cats... although the cat was a service animal until the ADA said they had to be dogs or horses (yes, she went through training and passed her tests just like a dog). Current T is kinda an OCD neat freak and totally not a pet person. I know he would be uneasy with me bringing one of my animals to session but I am willing to bet he would find a way to accommodate it sometimes. None of my other T’s would have minded at all unless it was against building policy.