Can I create a group that is also a user e.f. info[at]yourdomain[dot]com?

Can I create a group that is also a user e.f. info[at]yourdomain[dot]com?

I would like to have an info[at]yourdomain[dot]com group for customers to email that get distributed to members of a group, but I would also like people to be able to respond from the info[at]yourdomain[dot]com address, not just their own. However, after setting up a group, that user name is no longer eligible for use as a user name or alias. Is there a good way to accomplish this?