No statute of frauds applies to most administrative policies of educational institutions or most other organizations. Their policies are usually not required to be in writing.
It is common place for not every policy of an institution to be codified in written force. This is true even of very formalistic governmental agencies like the court system or the FBI.
If someone who is authorized to have power in an organization communicates a policy to you, you are generally obligated to follow it. Your only recourse is to appeal to someone higher in the organizational hierarchy than the person who communicated the policy to you to overrule their subordinate by disavowing the policy, by interpreting the policy differently, or by creating an exception to the policy for you and/or other people similarly situated.
If, instead, someone who doesn't have the power in the organization to impose a policy pretends that there is a policy which they are trying to enforce, the usual course of action would be to determine who actually has the authority to set the relevant policies and inform them that someone has been encroaching upon their authority. Imposing policies without the authority to do so is a classic strategy of con men and organized crime operations.
Of course, if the substance of the policy is illegal in some respect, you could go to a court to have that policy declared to be illegal, something that people routinely do in civil rights actions, even where the policies in question are not written down anywhere, as they often are not.
But, the mere fact that a policy is unwritten does not invalidate it in any way, in the absence of a specific law, such as the Administrative Procedures Act, that requires that a policy be codified, something that typically wouldn't apply to a two year community college, or more generally, to policies particular to the use of any paticular and localized resource of an institution.