Yes. You don't need to create a survey from scratch. If you already have one and want to use it as the basis for your new survey, simply clone it to save time.
Navigate to the survey you want to clone FROM and go to Survey Settings tab in the Setup section. Click on the Clone Survey link.
Clone Survey operation copies ALL of your survey configurations, segments, sections, questions, etc to the new survey. Submissions history and details are NOT copied.
NOTE: You can also clone survey that is attached to an even, when cloning that event. The system will prompt you if you want to clone survey as part of that.