Frozen fruit is what gives no-churn frozen yogurt its thick, scoopable texture. Greek yogurt: Greek yogurt is the secret to rich, creamy frozen yogurt without an ice cream maker. No-Churn Frozen Yogurt TipsAllison Cebulla for Taste of HomeCan you make no-churn frozen yogurt without a blender? Absolutely, this no-churn frozen yogurt works with all kinds of frozen fruit. To make dairy-free no-churn frozen yogurt, replace the Greek yogurt with a thick, dairy-free yogurt alternative, such as coconut or almond milk yogurt.