Simple answer, yes.
Now for the complicated one.
Disclaimer: These are just my thoughts on the matter of free will. I understand that this is a very hot topic, and therefore, I ask you to rethink comments before you post them. (I do however, want you to comment, and I will not delete comments from a different standpoint.)
That being said, I believe that man is able to choose. I think that the unsaved man as well as the born again man has the ability to choose. However, they do not have the same selection to choose from. The unsaved man has the ability to choose only evil, and wicked things. Oh yes, he can donate to charity, he can be a good neighbor and from everybody’s perspective he may be a “Good Samaritan”, but he only does those things to be seen by others, or to make him feel good about himself. Therefore it is not out of love that he does these things, but out of a selfish heart, and out of a conceitedness of spirit that he does these things.
The saved man is, however, free. God has opened his eyes and freed his mind from the trap of sin. You see, before we are saved, the only things that occur to us as options, are things that displease God. When we are saved, we have a whole new realm of options for us to choose from, and God doesn’t just leave us to it and say, “Have at it son,” and leave us to make every choice. He sends His Holy Spirit to live in us and to help us in our decision making. You see, in reality, you don’t really want the final say to be what you choose, because you know your heart all too well. You know that without God, you will never make the right choice. This is why it is important to spend time with God in prayer and in reading his word, thereby having Him align your heart with His, and enabling you to live a life that glorifies Him.