Yes. The judge must order it BUT you can be stuck with the worse option possible. I have a friend who has been divorced for several years and he is required to carry her the rest of her life. They divorced in California.
She used to have a $20 co-pay. He adjusted his insurance plan to the least expensive one and she has to pay a $500 deductible now, per year. So if she goes to the doc she has to pay the first $500 out of her own pocket. If she needs surgery or something I guess this is good to have but she is pretty healthy and when she is sick she just has to go to the ER and make small payments.
My friend that is getting divorce here in Oklahoma has it written in the temporary orders and her attorney has it in the final papers too. They just don't know when they'll be going back to court. So I know if is done in a variety of states.
It is often best to make your own choices and be able to provide for yourself instead of being at the mercy of someone who doesn't like you anymore...lol.
Perhaps you can get insurance through your employer that would be your own choice.
If you do pursue having him carry you then it needs to read to what extent his insurance must cover you, no less than he has been carrying on you.
My grandkids have insurance by their fathers and then they get a state card for medical care too. The state pays their bills then sends statements to their insurance companies for reimbursement. I have nothing to do with it and am glad. I just know the kids are covered in all cases.