I am trying to find the name of a movie - comedy with two males and one female. The two males compete with each other for her attention and one takes her to a cabin to swoon her (I think Robert goulet) and cooks a turkey in the fire place. The turkey takes off because of a rocket hidden in it.

I searched for Robert Goulet and his 1960's films and did not find the movie you are talking about. Robert Goulet - Wikipedia, the free encyclopedia
Robert Goulet

Hopefully someone who has a better memory can help you.