No, you need light canned coconut milk, which has added water, in this recipe. If you only have full fat canned coconut milk, you can convert it to "light" coconut milk by combining 3/4 of the volume called for as coconut cream or full fat coconut milk, and 1/4 by volume water. So for 24 fluid ounces of light coconut milk, you'd need 18 fluid ounces coconut cream or canned coconut milk + 6 fluid ounces water. For 14 fluid ounces light coconut milk, you'd need 10.5 fluid ounces coconut cream or canned coconut milk + 3.5 fluid ounces water.