Should I be a vet

I want to be a vet but I'm afraid of dogs and cats and other animals. I feel like everyone who became a vet grew up with animals in their childhood. Did anybody grow up without animals in their childhood and still went to vet school or am I the only one. I however like the idea of animals very much and I always wanted to go to human medical school because there is nothing more satisfying than treating a person with their medical needs. However I cant go to human medical school due to the dissection of human cadavers which is against my religion. I am allowed to dissection animals. Is it still rational or realistic for me to become a vet.