No, from a carbon perspective, how you get your food home from the store overwhelms how the food got to the store because the last mile is using 5000lb vehicles to transport 10lbs of groceries whereas all previous steps use 1:1 or less ratios.
Not sure what the 'no' refers to, but I suspect that "how you get your food home from the store" is not relevant in a comparison since that would be the same whatever I buy.