You are right Chelle, though I immediately thought of tomato. Perhaps the setter of the crossword didnt realise they both are. I think tomato is probably better known, and it is possible to bite into like a fruit, though you would never do that with a pepper.
They're both fruit.
Tomato definitely a fruit.
Pepper, whether you mean Capsicum (bell peppers eaten as veg) or peppercorns (ground and sprinkled on food as white or black pepper) are both botanically fruit.