Did producer of Easy Rider ever star in a movie with Dean Cain's Princeton girlfriend?
Easy Rider was produced by Peter Fonda. Dean Cain dated Brooke Shields while at Princeton. Brooke Shields and Peter Fonda star in the movie Wanda Nevada.
The answer is yes.

Would Nancy Pelosi publicly denounce abortion?
Abortion is a topic that divides the Republican Party and the Democratic Party. Nancy Pelosi is a Democrat and appeals to that base. The Democratic base is largely pro-choice with abortion.
The answer is no.

Can you buy a fair trade laptop?
Fair trade is a term used with sustainable development focusing on agricultural production. Laptops are consumer electronics.
The answer is no.

Were number of states in Ancient Greece underwhelming compared to US states in 1900?
In the year 1900 there were 42 US states. Ancient Greece had several hundred relatively independent city-states called poleis.
The answer is no.