Could our Sun ever undergo a nova or white dwarf supernova event? Why or why not?
No, our sun can't go nova or supernova.
Our sun is too small to go nova or supernova. It will ultimately enter a red giant stage and then collapse as a white dwarf. It would need to be at least eight times more massive to nova.
For the sun to be involved in a white dwarf supernova explosion it would need to have a close binary companion which it doesn't have. A white dwarf needs a close red giant companion from which it can acquire sufficient material to collapse and to explode as a supernova.