For the record... at my last medical check-up, we discussed several pain-relief methods for birth, and one of the proposal made by the medical team was 100% homeopathy based ...
You can certainly give birth with 100% placebo based pain-relief or no pain-relief of all. Most women throughout time have done so. Even as effective pain- relief became available some religious people were against its use on the grounds that God, in his mercy, had intended woman to give birth with pain as punishment for Eve's transgression. That seems pretty clear from Genesis 3.16:
To the woman he said, "I will greatly increase your pains in childbearing; with pain you will give birth to children. Your desire will be for your husband, and he will rule over you."
Whether you decide to give birth God's way or reap some of the fruits of modern medical science I wish you the best of luck with your birth and child.
Homeopathy is based on an 18th century theory which later discoveries have shown does not hold up. Yet, its adherents often defend it by using a scientific vocabulary. Thus it is pseudo-science.
Regards, Haukur