Baileys Pudding Parfaits with Oatmeal-Walnut Crunch

For crunch

• 1 cup old-fashioned oats
• 3/4 cup all purpose flour
• 1/2 cup (packed) golden brown sugar
• 2 teaspoons instant coffee crystals
• 1/4 teaspoon ground allspice
• 1/4 teaspoon salt
• 1/2 cup (1 stick) chilled unsalted butter, cut into 1/2-inch pieces
• 3/4 cup coarsely chopped walnuts

For pudding

• 1 1/4 cups chilled whipping cream
• 12 tablespoons Baileys Original Irish Cream
• 3/4 cup (packed) golden brown sugar
• 6 large egg yolks
• 1/4 teaspoon ground nutmeg

• 12 tablespoons dried currants