Probably. But in the clip shown, the defender is starting on the inside position and makes no effort to get outside to at least the first position. And his attacker is being very nice by throwing slow punches and not following the jab with an immediate cross to the defender's face.
When A's left hand pulls on B's right arm, this will make B's body to rotate to B's "left". This will interrupt B's immediate left cross (B will need to rotate his body to B's "right"). When the left hand pulling force is over, B's left cross can help A to redirect B's left arm to be cross B's own right arm.
It's always easier to
- grab your opponent's wrist when his hand is moving toward you (you don't have to move toward him).
- redirect your opponent's arm than to pull his arm (you don't have to use your own force).