Hi eggplantia,
No we don’t currently have any built in method to email to a friend while in the survey. In general these can be dangerous if not properly protected, as spammers can get into them and send a bunch of spam messages out through your survey and our system ruining both our reputations.
That being said there are some workarounds that can be utilized. The easiest and semi-secure method is to create a new survey that you will use as the emailing survey. This survey will ask for their friend’s email address, subject, message etc. and populate an email auto-responder at the end of the survey with their info and the link to the old survey.
This method is tedious enough that it will discourage most spammers and will also allow you to collect data on your survey taker’s friends and social network.
Hope this helps,
Chad