Physical injury and pain and suffering: Usually No. However, if you previously took a tax deduction for medical expenses, or paid medical expenses from a tax-free account like an HSA or FSA, and those expenses are now reimbursed, you might have a taxable recovery (taxable reimbursement of a previous deduction).
Repair or replacement of your car: Possibly, but only if the amount you received was more than you paid for your car. Also, an adjustment might need to be made if you previously used your car for business, like ride share or other self-employment. Please provide details.
Punitive damages (to punish the other driver): Yes, but this is rare.
Interest (if the payment was late and included bank interest): The interest portion is taxable.
