Re: No, absolutely not
That's not really how insurance works, though. You agree what you're insuring for beforehand, not after something happens, and clearly they didn't read the small print.
For example, If I have pet insurance, it won't cover my new kitten until I change the policy to explicitly add Meowzilla The Great, and I can't claim for the four hundred quid of vet's bills because he decided next door's dog needed to be taught a lesson in violence* if it happened before he was covered.
It's the same as if you insure your Honda Accord and then buy a BMW, that won't be covered until you change the insurance. And if you never put any oil in your BMW and the engine explodes, there's almost certainly a clause about regular maintenance and due care and attention (or something like that) that means they're not going to cover you anyway.
* yes, this is an Exodus reference. I do enjoy a bit of 80s thrash.