Does all pizza have butter?
Very, very few pizzas are made with butter.  There is no way to make a universal statement, but butter is a rare.  Olive oil would be more likely.

Many pizza doughs are fat-free, including the traditional pizza di napoli; New York style generally contains olive oil.

It is rare for any traditional toppings to contain butter.   Some individual cooks might saute vegetables in butter, but even then, olive oil more common.

As for particular restaurant chains, you would need to check their nutrition information sites.



Note:  as Derobert points out, some deep dish Chicago style pizzas may contain butter in the crust.