Only if you ignore the law. Here is the federal doctrine that applies to unemployment compensation via those express at-will employment Laws (which cannot be ignored for public policy purposes.)
At-will employment is generally described as follows: "any hiring is presumed to be 'at will'; that is, the employer is free to discharge individuals 'for good cause, or bad cause, or no cause at all,' and the employee is equally free to quit, strike, or otherwise cease work."
Any public policy enacted by the legislature cannot abridge those privileges and immunities via public policies. Thus, for-cause criteria for unemployment compensation is unConstitutional on its face and in its substance.
No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.