A Photon is electromagnetic energy and based on E = mc^2 energy is just another form of matter. Therefore a Photon is matter. Is this correct?

What [math]E = m \cdot c^2[/math] tells you is that energy and mass are the same thing, in the same way that a cup with 50% of its volume filled up with water is both half full and half empty, at the same time. So yes, photons are matter. And they are also energy. It's the same thing.

mass ≠ matter

 

Mass is a property of matter

 

Fundamental bosons (as opposed to composites made of paired fermions) are generally not considered matter; they are the force exchange particles and an arbitrarily large number of them can occupy the same space.