We know that pulses are rich in protein, then can we write it as poultry product?

It's true that pulses are rich in protein. But we cannot say it as a poultry product.

Poultry products are the products such as meat, chicken, an egg that comes from any life or slaughtered domesticated bird. It is an animal source.

Pulses are the legumes that come from plants by growing crops or vegetation. Thus it is a plant source.