All the folks focusing on the enormity of time it would take don’t get relativity. Time isn’t an independent dimension or even real at all but a perceived one that slows down with speed. A photon feels no time and is effectively traveling at an infinite speed. Attaining near light speeds is a question of harnessing power, which a type-III civilization might well be able to do.
The distances in space are real and enormous though and to the best of our current knowledge, we would have no means of ever making contact with anything outside a sphere that is well under the size of the observable universe because space is expanding faster than the speed of light; unless the universe’s space for some reason starts shrinking back again, that is.