No, because the scientific composition of the cellular structure of half and half has less oxygen-phosphate molecules than heavy cream. Although, if you alter the cellular activity by using a magnetic beam to separate the atoms and fuse the neutrons and protons, you can get heavy half and half, which is biologically approximate to heavy cream.
If you are using the heavy cream to whip, half and half won't work. If you are using the cream just for flavor and texture, half and half can be used and will work fine.
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In general, yes. For most recipes, it will be fine. Half and half will be a little lighter. The heavy cream will give it a more rich creamy texture. However, if you are in a jam, it will usually do just fine.
Here you go: http://www.cdkitchen.com/recipes/recs/4/HalfAndHalf_Substitute61128.shtml