Preheat oven to 350°F. Prepare a water bath by filling a pan halfway with water and placing it on the lower oven rack.
Beat vegan cream cheese, yogurt, sugar, cornstarch, vanilla, and lemon juice until completely smooth and well combined.
Pour filling into prepared pie crust and place on middle oven rack above the water bath.
Bake for 30 minutes, then turn off oven and leave cheesecake inside with door closed for 5 minutes.
Remove from oven and let cool at room temperature for 20 minutes.
Refrigerate for at least 4 hours or overnight before serving.