Yes, court fees may be waived in most cases.* A party who is unable to pay a filing fee should file a motion and affidavit requesting a fee waiver and disclosing the reason(s) for the inability to pay. There is no charge for filing a motion to waive fees. But if the motion is denied, you will have to pay the fee for underlying filing. MCR 7.319(B)(7).
[*Under MCL 600.2963, fees for prisoners under the jurisdiction of the department of corrections cannot be waived when the prisoner is a plaintiff in a civil action.]