It is even possible to give birth to a baby after having received a full schedule of prenatal care and in a hospital without being covered by health insurance. It is further possible to give birth to a baby after having received a full schedule of prenatal care and in a hospital without being covered by health insurance, but with the dubious aid of an obstetrician and several expensive nurses. It is EVEN FURTHER possible to give birth to a baby in a hospital without being covered by health insurance, but with the dubious aid of however many expensive people AND with the assistance of a well-paid anesthesiologist.
I know this because I have personally myownself given birth to two babies--one living, one alive in Christ-- without the mantle of health insurance, in two different hospitals with two different sets of expensive staff-peoples. I am not impoverished or forced to wear a large "S" for stupid on my outer garments. We simply paid for the prenatal/birth-related services rendered over time, in increments we could afford. This paying was not embarrassing or shaming in any way. It's the way people have been paying for things for, like, ever. Health insurance is fine for what it is, but it is not Necessary.
Behold a mystery: Birth cost us approximately the same out-of-pocket without health insurance coverage as it currently costs us with health insurance coverage. All in all, God provides. Be not afraid to carry out the fullness of your marital love. We brought nothing into the world; we can take nothing out of it; but we can bring forth children in the grace of our God without health insurance. Really.