Sometimes — with care
Non-toxic but unnecessary: a cat can safely taste a small piece of strawberry, gains nothing from it, and shouldn’t make a habit of fruit.
Strawberries contain vitamin C and antioxidants that benefit humans — but cats synthesise their own vitamin C and extract almost nothing useful from fruit. No part of the strawberry is toxic to cats, so curiosity is safe; the leaves and stems can cause mild stomach irritation and are best kept away. As with all sweet things, the cat is responding to smell, moisture and your sandwich-guarding behaviour, not sweetness — cats can’t taste sweet at all.
A small piece (half a teaspoon) occasionally is the sensible maximum. No strawberry yoghurt (lactose + sugar), jam (pure sugar), or desserts. Diabetic and overweight cats should skip fruit entirely.
Freeze-dried meat treats scratch the “special treat” itch appropriately; see also chicken for cats.
This article is general information, not veterinary advice. If your pet has eaten something potentially harmful or shows symptoms, contact your vet or an emergency clinic immediately. Full disclaimer.