I am looking to create a Visualforce page that will serve as a data collection form on our website.  The user will ultimately be creating a contact record (linked to an existing account via a lookup) and then several child records (inquiry history, extra curricular interests, family relationships, etc.)  I would like the user to have the ability to create more than one of any of these child records during this process.

Visual:

Contact (1)
--Inquiry History (1)
--Extra Curricular Interests (Many)
--Family Relationships (Many)
--Test Scores (Many)

1)  Is this feasible?

2) What technique is best suited for this type of action?