Line a 9-inch (23x23-cm) square pan with parchment paper, leaving enough overhang to lift the bars out later.
Briefly dip half the biscuits in the coffee and arrange in an even layer in the bottom of the pan.
Place the chocolate, butter, espresso powder, and sugar in a large bowl. Pour the hot cream over the mixture and let sit for 1 minute, then stir until smooth and glossy. Fold in the crushed biscuits and cocoa powder until evenly combined.
Spread the chocolate mixture over the biscuit layer in an even layer.
Using a hand mixer or stand mixer, whip the heavy cream, pudding mix, confectionersâ sugar, vanilla, and espresso powder, if using, until thick, smooth, and spreadable.
Spread the cream evenly over the chocolate layer. Dip the remaining biscuits in coffee and arrange over the top.
Freeze until firm enough to slice cleanly, about 2 hours. For a softer, cake-like texture, transfer to the refrigerator 20 minutes before serving. Keep frozen for a firmer, ice cream-style texture.