Yes! Plenty of my OCs have pets! Here in no particular order they are.

First, my OCs that don't have pets in the present time that I write most of their fics in, but want them:

• Ridley! This boy wants a dog so bad. He and Remy will probably end up adopting a dog.
• Juliette! She wants a cat and will end up married to someone who has a cat. She will most likely end up adopting another one with her husband.

The OCs that do have pets!

• Dove! She has a golden retriever named Brutus. He is the biggest himbo in dog form you'll ever meet. He would roll over and show his belly to an intruder.
• Elsie! She has an orange kitty called Clover who is a very sweet girl. Clover follows Elsie around her apartment.
• Clayton! A newer OC of mine Clayton has two pittbull mixes. Cash and Boone. Cash is a rescued fighting dog so he has some scars and a notch in one of his ears. Boone is the more cuddly, friendly of the pair. They are both fiercly loyal to Clayton.

I feel like I'm missing something but those are the ones I can think of now.