Yes, the universe itself will eventually outpace the speed of light. There is no limit to how fast the universe can expand. Einstein's theory that nothing can travel faster than the speed of light in a vacuum still holds true, because space itself is stretching, and space is nothing.
Galaxies aren't moving through space and away from each other but with space. Some galaxies are already so far away from us, and moving away so quickly, that their light will never reach Earth. It's like running a 5K race, but the track expands while you're running. If it expands faster than you can run, you'll never get where you're going.
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