I don't think so. I use full yogurt and have never frozen it. I kinda like the light tan color it gives the soap. I did freeze my cucumber puree and I didn't see a difference in it. The odor was still there and I didn't see where freezing it helped at all. SO... wether it's coconut milk, yogurt, GM or whatever "I" lean towards NOT freezing it as I myself do not notice a difference. Give it a shot if you haven't already.