I think it's overall a crappy situation to be in - for both people.
On one hand, no, the OP cannot "force" another child into her husband's life if he's not ready/wanting another. It's not fair to him or the child.
On the other hand, having another is important to the OP. Important enough that by not having another child could cause a lot of resentment in the marriage.
I'm not saying that the OP should leave her husband over it. I do agree that counseling would probably be the best course of action. I just don't think it's fair that she's being judged so harshly for how she feels. Yes, leaving her husband would absolutely affect her child. And if the OP had another or not, there is likely to be a lot of resentment in the marriage. That's also likely going to have an affect on the child. It might be less than if the OP left, but it almost might not be less.
Wanting another has nothing to do with appreciating or not appreciating the child that she already has. It's not fair to insinuate that her strong need to have another means that she doesn't appreciate what she already has. I'm sure the OP loves her child and is grateful to have that child.
It's also not fair to compare the OP to those that cannot have children. Apples and oranges.
The OP is not the first or the last person to feel this way or go through this. I can understand her needs being 32. Yes, 32 is young, but it might be increasing the need to have another sooner than later.
When having a child is so important to someone and someone saying 'no', I can see how the OP would react in such a way. Maybe it's right, maybe it's not, but I understand where she's coming from.
I really think the best thing would be for them to go to counseling, but I don't think the OP is wrong for how she feels. There's no wrong or right way to feel in this situation as it is a delicate one. I really hope it something that can be worked out between them as it's really a tricky situation.