Not really. Bush was riding a wave of popularity from the Reagan years that saw enormous economic growth, peace and the crumbling of Communism. Dukakis was a weak nominee from a weak field (affectionately called the Seven Dwarfs") and never came close to Bush. Also, Quayle was a young, little known, good looking mid-western senator, and most of his gaffes ocurred after the election. He survived allegations that while in the National Guard, he received preferential treatment to stay out of Viet Nam.

Anyway, this is a memorable gem that stung him:

http://www.youtube.com/watch?v=O-7gpgXNWYI