Yes, and the law has already written a will for you in that event. Yes. New York is an 'at-will' employment State.For this reason, a Texas business should never try to create a signed employment contract for its employees without having a lawyer review it! A termination that is unfair is not necessarily illegal. In most circumstances, employers can terminate employees "at will," meaning at any time for any reason. Yes, even without a written contract, you have a legitimate cause of action. Patrick Collins represents employers in all aspects of labor and employment law and workplace related disputes. I signed agreement and part of agreement was no contacting ex colleagues and company about my previous employment. i. Thus, working without a contract can leave an employee in limbo. I Have No Contract of Employment, What are My Rights?