If you are logging in as admin, and not using a standard account which i not a good way to do things, yes you can delete the password on the account. Go to System Preferences, Users and for the account just delete the password. But, you are really creating a security hole when you do that, another bad way to operatie a computer especially if it is connected to a newtork or the internet.
Why not just write down the password and keep it handy? Then you can refer to it when needed.