Can the new nature sin?

Les teaches that when a person believes the Gospel, the old sin nature—the old Adam we are born with—had to be crucified and put to death in the realm of the Spirit, and Christ reckons it as crucified. Immediately God places opposite that old Adamic nature a new nature, a new divine nature. Les maintains that this new nature cannot sin because it is divine. So when believers sin, it is simply that old Adam has taken control for a moment, and it is through the old nature that they continue to sin. In God's eyes, old Adam is dead, which is why He can declare us justified, just as if we had never sinned; but experientially, in everyday life, old Adam remains the source of sin.