We won't ever do interstellar travel as biological human beings. The speed of light and the vulnerability of mammalian life to interstellar radiation guarantee this.
However, AI or human uploads into Silicon might not be so constrained. They can be radiation-hardened, and can slow down their clock-rate to make the subjective speed of light seem faster by orders of magnitude.
It's also possible that other forms of bio-life might evolve with a slower and less radiation-sensitive chemistry. Some trees live 3000+ years. There's a fungus in the USA that's at least 100,000 years old (also the largest, most massive life-form yet discovered on Earth). Perhaps elsewhere, there are intelligences that live for many My, for whom a 30ky interstellar journey wouldn't seem impossible.
But back to the Fermi paradox - where are they? (Just possibly: out in our Oort cloud, living slowly and quietly. Or here on Terra: we call them fungi, they think too slowly for us to consider them sentient. When they get around to noticing us, they might decide we're a plague and do something about it ...).