The rules specify that no fundamental process may be used that is not compatible with the lunar environment. In the case of cooling fans, using a convection process in the open atmosphere does not comply with the rules because of the constant supply of air from the atmosphere in order to function. If convection is used in a closed loop system, and/or with a consumable fluid source (i.e. a tank of consumables) then it is possible to comply with the rules.
A potentially more appropriate solution is the use of a radiator for cooling. This is more typical for use on spacecraft. In addition, some interesting operational considerations arise out of using radiators in a dusty environment.