Is it possible to perform a cfinsert within an cfupdate?

Hello again. I have a webpage that allows a user to do a cfupdate of a record successfully. I was wondering if it was possible to also allow the user to add a new record on the  same webpage in a similiar way as the cfupdate but to do an insert not an update? If this is not possible then I will proceed with creating a "add new" link to allow users to add a new record via a separate form.

thanks in advance.