You were arrested for public Intoxication and refused a breathalizer but was never given a breathlizer in jail is there any way to get out of it?

No. The cops and prosecutors feel that if you refuse a breath test it's because you're drunk, so that's how they approach it. Besides, the cop who arrested you will testify as to your behavior when you were picked up. "Yup, he acted drunk..."
No. The cops and prosecutors feel that if you refuse a breath test it's because you're drunk, so that's how they approach it. Besides, the cop who arrested you will testify as to your behavior when you were picked up. "Yup, he acted drunk..."