Can a grieving cat die without showing any signs

My friends dad passed away 3 days ago & this morning he told me his mum found her cat dead under the bed. I asked if his mums cat was sick or had been to the vets recently & said the cat was as fit as fiddle. The only thing i could think of was the cat was bitten by a snake or spider, im pretty sure my friend thinks that the passing of his dad was the reason the cat died

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