Yes, they can ask you all kinds of questions about what you said and make you appear quite talkative.

Say nothing and you can truthfully say repeatedly that you said nothing. You'll be able to consistently tell the truth on the stand without having to explain any of your statements, statements that the prosecution will attempt to twist into incriminating statements.

Of course, if you do the same to the prosecutor before trial, the chances of you making it to trial go down. Prosecutors like to win their cases.