In the case of a car purchase contract, the dealership may be able to change the contract after it has been signed if they can show that there was a mistake or error in the contract. For example, if the contract contains a typographical error or if there was a misunderstanding between the dealership and the buyer about the terms of the contract, the dealership may be able to have the contract corrected.
However, dealerships cannot unilaterally change the terms of a contract without the buyer's consent. If a dealership attempts to make changes to the contract without your permission, you may have legal rights to pursue damages or to have the contract voided.
It is important to note that the specific laws governing car purchase contracts vary from jurisdiction to jurisdiction. Therefore, if you have questions about whether a dealership can change a contract after it has been signed, it is best to consult with an attorney in your jurisdiction.