To travel the entire cosmos could take a man up to 13 billion years it is believed. This is calculated when even going at the speed of light. The cosmos is so vast, it would take a very long time and that is for sure. The exact calculations are not presently available, however. Intergalactic travel is a mysterious concept.
It is the term coined for hypothetical manned or even unmanned travel between galaxies. While all this is the basis for science fiction, it will one day be a reality, no doubt. That is, if humans don't end life on the planet Earth before then.