Yes, this is a thing. It’s currently on the menu at a pizza place in Milwaukee, which announces:

“Fish Fry” pizza is back for each Friday of the Lenten season. Tartar sauce and mozzarella base with french fries, fried fish and topped with a homemade coleslaw. Be sure to hurry in and snag this delicious pizza before it’s too late.

If that doesn’t stir your appetite,  they also offer “Jambalaya Pizza” (though, of course, that has meat):

“Jambalaya” is back as a two week special!!! Marinara sauce, Pepperjack cheese our house-made jambalaya featuring chicken, andouille sausage, rice, celery, onions, red & green peppers and fire-roasted tomatoes.