Is there a way to not display all profile fields at sign up?

Just like it says, I want all of the profile fields that I have set up to be available and filled out, but I don't need all of them on the registration page.

How do I shorten what is on the page, yet still have the fields available for users to fill in or edit later?
I was thinking to just strip them from register.php...would that do the trick or screw something up?