On January $2,2023,$ Matt told his neighbor Tom that he would be interested in buying Tom's car. Tom had never sold a car before, and that day, Tom gave Matt a written and signed offer to sell his car to Matt for $$8,000.$ The offer included the following statement: "I promise that this offer will remain open until February $16$th$,2023."$ On February $2,$ Tom's brother offered to buy the car for $$9,000$ and Tom sent Matt a letter saying that he was immediately revoking his January $2$nd offer. Can the offer be revoked?