Is it possible to annul a marriage if both parties are in agreement with the process?

No, annulment only applies if there was illegality, fraud etc, you cannot stipulate to it. just file for divorce.

An annulment is a legal proceeding to declare the marriage invalid (as if it never occurred). In Illinois, there are a just few grounds to declare a marriage invalid: 1) One of the parties lacked capacity to consent to the marriage at the time of the marriage ceremony because of mental incapacity or if they were under the influence of drugs or alcohol that inhibited their ability to consent; or a party was induced to enter into the marriage by force, duress or fraud involving the essentials of the marriage; 2) A party lacks the capacity to consummate the marriage by sexual intercourse, and the other party did not know of the incapacity; 3) A party was under the age of 18 and did not have parental/guardian consent or judicial approval; or 4) The marriage is prohibited.

In Maryland, its much easier just to get a divorce.

You must have acceptable grounds to annul a marriage. The fact that both parties desire an annulment is irrelevant. You must file the proper documentation and include the grounds for which you are seeking an annulment. The court then will make a decision whether or not you have provided sufficient grounds and evidence. Otherwise, the court will require that the annulment be converted to a divorce action.

Probably not in Michigan, but see an attorney.

In Georgia no, unless there are legal grounds.