Will the sun runs out of the fuel for fusion will it cause it to the end of life on earth?

Yes, when the Sun runs out of fuel for nuclear fusion, it will eventually lead to its transformation into a red giant and then a white dwarf, significantly affecting life on Earth. As the Sun expands, it will likely engulf the inner planets, including Earth, or at least render it uninhabitable due to extreme temperatures. However, this process will take billions of years, so it is not an immediate concern for life on our planet.