Only if the density is close to that of water. A quick google search says that approximating 1g = 1ml would work for yogurt (1.04g/ml), but not for honey (1.40g/ml).
They don't mark out honey in different base units. Some things are sold by volume, but even yogurt is sold by mass. It's partially because packing density is rather variable between different sources/grades, and also not as easy to handle as weight (just add on top, and don't care about the shape of the contents of the bowl).