Make the peanut butter pastry cream: In a medium heavy-bottomed saucepan, combine 2 cups half-and-half, 6 tablespoons of the ½ cup granulated sugar (reserve the remaining 2 tablespoons for the yolks), and a pinch of salt. Heat over medium, stirring occasionally, until the mixture reaches a full simmer (small bubbles form at the edges).
While the half-and-half heats, whisk 5 egg yolks in a medium bowl until combined. Add the remaining 2 tablespoons granulated sugar and whisk until the sugar begins to dissolve and the mixture is slightly creamy (about 15 seconds). Whisk in 3 tablespoons cornstarch until smooth and pale yellow.
Temper the yolks: with the mixer whisking, slowly whisk some of the hot half-and-half into the yolk mixture to warm it (a little at a time). Then scrape the yolk mixture back into the saucepan. Return the pan to medium heat and whisk constantly until the mixture comes to a simmer and thickens and becomes glossy (a few surface bubbles will burst), about 30 seconds.
Off the heat, whisk in 1/4 cup cold unsalted butter (cut into 4 pieces) and 1½ teaspoons vanilla extract until smooth. Strain the pastry cream through a fine-mesh sieve into a medium bowl, then whisk in 3/4 cup creamy peanut butter until fully combined and smooth. Press plastic wrap directly onto the surface to prevent a skin, then refrigerate until cold and set, at least 3 hours or up to 2 days.
Make the pretzel crust: Preheat the oven to 350°F (175°C). In a medium bowl, combine 1½ cups crushed pretzels and 1/3 cup granulated sugar. Pour 9 tablespoons melted unsalted butter over the pretzel mixture and stir with a fork until evenly moistened. Press the mixture firmly and evenly into a 9-inch pie pan, covering the bottom and up the sides. Bake 10–12 minutes, until lightly browned. Transfer to a wire rack and cool completely.
Make the chocolate ganache: Put 3 ounces finely chopped semisweet chocolate in a medium bowl. Heat 1/4 cup unsalted butter and 1/4 cup heavy cream together until hot and just bubbling (microwave ~1 minute or heat in a small saucepan). Pour the hot butter-cream mixture over the chocolate, let sit 30–60 seconds, then stir until smooth. Whisk in 1/2 teaspoon vanilla and 1 tablespoon powdered sugar until fully incorporated and glossy.
Pour the warm ganache over the cooled pretzel crust and spread to the edges. Refrigerate the crust with ganache for about 30 minutes, or until the ganache is set.
Arrange the bananas: Place the 2 bananas (sliced about 1/2-inch thick) in a single layer over the set ganache.
Finish assembling: Remove the chilled peanut butter pastry cream from the refrigerator; if very firm, whisk briefly to loosen. Spread the pastry cream evenly over the banana layer.
Make the whipped topping: In the bowl of a stand mixer fitted with the whisk attachment (or using a hand mixer and a large bowl), combine 1½ cups heavy cream, 4½ teaspoons granulated sugar, and 1 teaspoon vanilla extract. Whip on medium speed until soft peaks form, about 3–4 minutes. Spread the whipped cream evenly over the pastry cream.
Garnish and store: Garnish with crushed pretzels, chocolate, and peanut butter if desired. Cover leftover pie with plastic wrap and refrigerate for up to 2 days.