No, you have the right to health care. The purpose of scans is not to give you a sneaky peek at the baby. I loved having my scans and it is great to see the baby, but a scan before 12 weeks has no medical necessity in most cases.
Pregnancy is not an illness. Midwives are great for uncomplicated low risk pregnancies and really there isn't a need to see a specialist obgyn unless you are not in the uncomplicated low risk category. Obviously there are different systems in different countries but I think there is sometimes too much over medicalisation of what is not an illness. Good antenatal care is very important, but in my opinion that doesn't mean seeing a consultant for every visit and having two scans a month.