Yup. When you transfer the title they ask you how much you paid. Then they add the sales tax to the transfer fee. How much you tell them you paid for it is up to you.
Here in WI it’s a split identity. If the trailer is identified as an RV, usually identified in the VIN, then you pay sales tax up front, but any interest you pay if financed is tax deductible like your home mortgage interest tax deduction.