Well, you won’t get it through your employer, of course, or through the government. Nonetheless, more and more people are choosing to pay monthly or annual premiums for health insurance for their pets.
The reason is obvious: medical care for pets (as for their owners) is getting more expensive as it gets more sophisticated, and there is no Medicare or Medicaid for old (or poor) pets. As veterinary costs rise, and as more people (particularly single folks) own pets, the more likely it is that people will choose to pay for pet insurance.