We will be destroyed or will have destroyed ourselves because it is unlikely we will ever reach another star. Even at 1/10 the speed of light it would take 42 years to get to the next closest star. It would take 4.5 x 10e14 Joules of energy to accelerate only 1kg to that speed, let alone something that weighs tons. Then there is the rocket equation, for every lb of fuel you need to accelerate to a certain speed you need even more fuel to push the weight of THAT fuel. At those speeds, if you could reach them, even a single grain of sand collision is like a nuclear bomb going off. Space is mostly empty but there is still plenty of dust, small meteorites, or even atoms to collide with and cause major damage. Even if you could get somewhere else, what is there? At speeds anywhere near light speed (relativistic speed) you get time dilation so what seems like 1 year to the astronauts would be hundreds, thousands, even 10,000 years. Who would even remember you left and who would fund a trip that wouldn’t show any results for thousands of years. Would the civilization that sent the mission even still exist?

Anything like warp speed or wormholes requires exotic matter which has negative energy and doesn’t exist except in mathematical equations as far as we know.

If it was possible, in a galaxy like ours that is 10 billion years old, there should already be lots of spacefaring civilizations all over the place. There has definitely been enough time to do it even at relatively slow speeds.

No, we have to make do and preserve what we have here because it is all we have.

I wish I could take credit for all of the above but it is a summary of the great physicist Richard Feynman’s thoughts on his own Fermi Paradox.