The species that is around for the longest that we know of is only about 200 million years old (Triops cancriformis). For mammals it's even less with about 130 million years, but that one is already extinct (Multituberculata).
Everything has a lifespan, including species, this planet, the sun and the universe.
But nevermind these far off events. It's been a while since I checked, but the same way the Earth moves around the sun, the sun and our entire solar system are moving, too. And based on records found if you dig deep into the Earth and analyze the dirt it seems that about every I don't remember how many thousand years we move through a part of the universe with a lot of rocks. It's called an extinction event, but humanity has barely survived it at least once. Imagine not one, but a few thousand asteroids hitting the Earth. Per hour. For a couple of weeks straight. Seems like we came up with a few names for that. Like Ragnarok, Armageddon, Apocalypse, ...