Plasma cosmology would have no problem with this occurrence, nor would the observance of a secondary explosion come as a surprise.
In the plasma cosmology paradigm, stars are not thermonuclear furnaces, but glow discharge plasma bodies, fed by EXTERNAL filamentary Birkeland currents.
In this view, a supernova occurs when the z-pinch responsible for creating the star fails, and the double layers containing the currents break, releasing its energy. Since the power released is external to the star, it can even exceed the perceived power of the original star, if one were to assume it was a thermonuclear event.
In this approach, there is no requirement that the entirety of the mass of the original star be obliterated when such an event occurs, or that all of the supporting current filaments be destroyed. Therefore some portion of the star can remain after the initial explosion, and even behave something like a star, to a diminished and changed capacity. Because of this, it is possible to an initial explosion, and some time later, the remaining filaments can break, resulting in another explosion. It is even possible for the secondary explosions to release more energy than the original explosion. Of course this is not actually true, since the original assumptions of the amount of energy at work were based on a different view of star processes.
Of course, any number of scenarios in-between could occur as well.