No.
for a start, doctors will prescribe the cheapest medication known to be effective against an illness. This means that prescribing formula is cheaper than giving councelling and BF support, so that's what they will do.
Secondly, I had emotional issues around breastfeeding that I was not ready to face when I had my first child. Being forced to face these in a doctor's surgery immediately postpartum would have destroyed what was left of my mental health. I needed formula, and I needed to not have to talk about why I needed formula. You can lie to nosy fuckers who are judging you as you wander by, you cannot lie to your doctor if your doctor is the only route available to feed your baby formula.
Thirdly, it would mean going for a doctor's appointment as soon as you are released from hospital, possibly with other kids in tow, and unaccompanied if you are a single/unsupported mother. Why would you put another human being through that?
Fourthly, formula is an acceptable method of feeding babies. If you are going to medicalise the choice to give formula rather than the optimum choice of breastmilk, you must also medicalise vegetable oil, white bread, white flour, sugar, honey, margarine, butter, fatty cuts of meat, the skin of chicken, gravy granules, cheese in portions larger than 30g, smoked foods, salt, ready meals, chips, fast food, non organic poultry, processed meat, alcohol, chocolate, sweets, white rice, dried fruits, instant noodles, crisps, salted nuts ... all are food choices and all are less than an optimum diet. With the exception of alcohol, all may be given from 1 year old.
So at what point does the government stop interfering with our choice of infant feeding?