The quick answer is NO. But yes, you can send a survey and technically collect the data anonymously. But- if you mean truly anonymous- it is not, because you have to send the
…survey out to personal email addresses or if they come to survey monkey they technically leave behind a digital trail. If you want to gather sensitive survey information and give your survey takes total confidence they they can provide the answers to your questions without anyone be able to know who provided the answers, consider using an anonymous messaging service like SilentSender.com . I attached a Squidoo article that tells you how to setup and anonymous survey so you can collect sensitive data with confidence. Also- your participants will be more likely to answer the questions and complete the survey. http://www.squidoo.com/anonymous-email-how-can-my-blog-followers-send-me-anonymous-comments (MORE) 
