Of course we have a will , but we will always choose according to our nature. Just as a man can not will himself to fly out of a window because it is contrary to our physical nature, we can not act contrary to our FALLEN spiritual nature.
An unregenerate man will never choose good (as God sees good) He will always choose what pleases his flesh .
Before I was saved, I had a god of my own making..He had all the attributes I assigned to Him. He was a god of my own making and not the God of the Bible.
My will was really my god..
When one is born again he is a new man, with a new will..one that desires not to please his own flesh but to please God..