No. An object can be in mechanical equilibrium only when there are no forces acting on it, or when the resultant of multiple forces acting on it is zero. When only one force is acting on a object the resultant force is exactly same as the single force acting on it, which causes object to move under the action of the force.
Frequently it appears that an object is in state of mechanical equilibrium even when a single force is acting on it because the object does not move. This happens because when we try to move a heavy object with a force insufficient to overcome the frictional resistance, the force applied results in an equal and opposite force in form of friction. Thus in reality there are two equal and opposite forces acting on the object, rather than only one.
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