But his parents can. As I said in a previous post: Infants are baptized on the faith of the Church as expressed by their parents. Whether or not one is below the age of reason and capable or incapable of belief is not the issue. The issue is, Can God confer his grace upon an individual based on the faith of another? The answer is a resounding Yes. The Bible is filled with examples of this.
In Matthew 8:513 we read: As he entered Capernaum, a centurion came forward to him, beseeching him and saying, Lord, my servant is lying paralyzed at home, in terrible distress. And he said to him, I will come and heal him. But the centurion answered him, Lord I am not worthy to have you come under my roof; but only say the word, and my servant will be healed. For I am a man under authority, with soldiers under me; and I say to one, Go, and he goes, and to another, Come, and he comes, and to my slave, Do this. and he does it. When Jesus heard him he marveled, and said to those who followed him, Truly, I say to you, not even in Israel have I found such faith. . . . And to the centurion Jesus said, Go; be it done for you as you have believed. And the servant was healed at that very moment.
Here we see the servant healed based on the faith of the centurion. But not only that, the text also tells us that Jesus marveled at the faith of the Roman soldier. Would he not also approve of the faith of parents who have their infants baptized? Absolutely