Sure but buying pet insurance for the lifetime of a cat (15 years) is $5-10k, plus if you ever need it there are generally copays and coinsurance which could add $thousands more. Exceptionally unlikely that even with several emergencies your out of pocket costs would ever exceed that.

Pet care can be expensive but having insurance doesn't magically make it go away... it just means you pay whether or not you use it. And if you have multiple pets, it's even more certain that pet insurance is a bad bet.