Steve4Physics
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No. That's only true for kinetic friction. I will add to @haruspex's comment...rudransh verma said:There have to be relative motion between A and B for the friction to occur here.
Suppose a small parachute is attached to block B. Since A and B are pressed together, there could be enough static friction to prevent them sliding relative to each other. A and B would then fall together (in the same way as if they were stuck together).
Of course If you use a sufficiently big parachute and A is very heavy, then A will fall faster than B. Sliding occurs between A and B and the friction is kinetic.