Not necessarily, from what I heard humanity being alone is actually an extremely plausible solution to the Fermi paradox because we exist close to the beginning of the total lifespan of the universe.
The universe is thought to be about 13.8 billion years old. The Earth is about 4.6 billion years old. I don't think humanity has even been around for 500k years.
There are other factors that stop the kind of life we see on earth from appearing earlier in the universe’s history. For example the first stars (the pure hydrogen ones) could not have had planets that supported life and they burned too hot and quick to reasonably do so.