If a plea bargain is set can a judge give more time than the plea bargain

In a negotiated plea situation the judge is not bound by the terms of the negotiation.  If the judge choose to not accept the terms of the negotation the Defendant has two options.  They can withdraw the plea and the fact that they pleaded cannot be used against them.  Or they can enter into the plea anyway and attempt to secure either a different deal or leave the sentence up to the judge.  So, can what you describe happen?  Sure.  What happened?  That you would need to speak to the attorney of the person sentenced about.