No, not if you were not a resident for at least 6 months.
"You may qualify for a homestead property tax credit if all of the following apply:
- You own or were contracted to pay rent and occupied a Michigan homestead for at least 6 months during the year on which property taxes and/or service fees were levied
- If you own your home, your taxable value was $136,600 or less
- Your total household resources were $60,600 or less. Part-year residents must annualize total household resources to determine if
the credit reduction applies.
- If 100% of your total household resources were received from the Michigan Department of Health and Human Services, you do not
qualify"