There have been five mass extinction events notwithstanding the current episode, and none have involved shooting stars aka meteor showers.

Move earth out past Jupiter is you wish to have an atmosphere on Earth in 750 million years from now?

What I say is almost completely jejune, what about you.

"Shooting stars", is actually a term usually used for meteors, or small rocks, which burn up when they hit the atmosphere. If however you mean could we collide with, or suffer from a damaging near encounter with an actual star. Then yes, anything is possible, but given the vast distances of space, and the fact that no star moves at anything like the speed of light, especially relative to the others. Then it follows that we would have thousands of years to watch it coming, and would be aware if there was one soon.

What is certain though, is that our whole galaxy is on a collision course with the Andromeda galaxy. Which is due to hit us in, I think if I remember correctly, one point one billion years, approximately. But given the vast amounts of empty space within galaxies, it is billions to one that we would suffer a direct hit. What is more likely is that the gravitational disturbances, would pull planets like earth into different orbits, and fling rocks and debris about with damaging effects. But given that just over a billion years is the time remaining until our sun dies anyway, that is probably about the limit of earths life in any case.

There is/was a theory, that there is a rogue star which makes a close pass by the solar system every sixty million years or so. And that by flinging debris and comets about, it is the cause of earths periodic mass extinctions. But that theory is regarded by most serious scientists as a bit fanciful, at the very least.

Is dying ever fun? If it were a star, it's likely the Earth would simply be vaporized and absorbed. Given the vastness of space, one can see why it hasn't happened yet.

The latest images of galaxies show how the arms look like swiss cheese or even bread with holes everywhere generated by novae of various sorts. That looks to be a much more probable event: a nova going off and raking the solar system with lethal radiation. Astronomers believe the chondrules comprising many meteors come from matter sprayed into our vicinity by these novae.

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"Shooting stars" often hit Earth. What we call shooting stars are actually space debris passing through our atmosphere and burning up. To my knowledge, and I am no expert, is that stars "die", collapse on themselves becoming so dense they form black holes. Again, no expert.

The answer depends on the type of star that swallowed up the earth.

There are rogue stars in the universe. Pretty sure we would see one coming from a long ways out.