Pulse graham crackers, pecans and salt in a food processor until finely ground. With the motor running, drizzle in oil, then pulse to combine. Press into a 9-by-13-inch baking dish.
Add cream cheese, yogurt, confectioners' sugar, lemon zest and lemon juice to the food processor. Puree until smooth, about 1 minute. Dollop the mixture over the crust, then gently spread into an even layer. Cover and refrigerate until cold, at least 2 hours and up to 1 day.
To serve, top with berries and cut into 16 squares.