Legal Question in Consumer Law in California

In California the dealer has 14 days to obtain financing for the vehicle based on the terms stated in the contract. If they are unable to obtain financing in 14 days and notify you in writing that no financing was obtained they can request you return the car and they must return your down payment. If you traded in a vehicle then you would get that trade in back unless it as been sold, in which case you are entitled to the amount stated on the contract for the trade or fair market value, which ever is greater.

In the scenario you describe the dealer can not force you to sign another agreement. If they do not obtain financing then the contract is rescinded and you can walk away from the deal.