Yes, provided that you live in the place you are renting. Please see how to claim the credit on the WI website (click on link): https://www.revenue.wi.gov/Pages/FAQS/ise-home.aspx#home2. As you can see, you will need to submit paperwork that shows you rented and lived in the residence.
There are many different reasons that you may have a different mailing address (a PO box would be a reason), so you are not denied the credit just for that. But you do need to live there.
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