Nope, state goes last since it has the burden of proof.
The lawyer for the plaintiff or government usually goes first. The lawyer sums up and comments on the evidence in the most favorable light for his or her side, showing how it proved what he or she had to prove to prevail in the case.
After that side has made its case, the defense then presents its closing arguments. The defense lawyer usually answers statements made in the plaintiff’s or government’s argument, points out defects in their case and sums up the facts favorable to his/her client.
Because the plaintiff or government has the burden of proof, the lawyer for that side is then entitled to make a concluding argument, sometimes called a rebuttal . This is a chance to respond to the defendant’s points and make one final appeal to the jury.
—from the American Bar Association website