If you stir a solution can more solute be disolved? ( make it super-saturated?) Or can a solution only be supersaturated if heat is involved?

A solute can dissolve in solution until the open binding sites are fully saturated. This leads to over-saturation, or super saturated state. Not all molecules in a solution have exactly the same amount of potential or kinetic energy. Heat is energy, so therefore, by applying heat, the energy level is increased and more bonding sites are exposed. When heated, the molecules gain more kinetic energy and collide more frequently, adding to the exchange of kinetic energy for potential energy. Upon heating, the molecules must gain enough energy to reach a transition state, so this will depend on the amount of heat applied to gain the energy desired.