No, it is not possible for our Sun to become a supernova.
Supernovae occur when massive stars, typically several times more massive than our Sun, exhaust their nuclear fuel and undergo a catastrophic collapse followed by a powerful explosion. This explosion releases an enormous amount of energy and leads to the ejection of stellar material into space.
Our Sun, on the other hand, is classified as a main-sequence star, specifically a G-type main-sequence star. It is not massive enough to undergo a supernova event. The Sun's nuclear fusion processes occur in its core, where hydrogen is converted into helium. Over the course of billions of years, the Sun will gradually consume its hydrogen fuel and evolve into a different stage of stellar evolution.
In around 5 billion years, the Sun will enter a phase called the red giant phase. During this phase, the Sun will expand and become a much larger star, engulfing and potentially destroying the inner planets, including Earth. Eventually, it will shed its outer layers, leaving behind a dense core known as a white dwarf. This core will gradually cool down over an extended period of time, ceasing to emit significant amounts of light and heat.
To summarize, while our Sun will undergo significant changes in the future, including expanding into a red giant and eventually becoming a white dwarf, it will not explode as a supernova. Supernovae are events that occur in more massive stars than our Sun.