The only way a "human" will ever experience a different solar system or galaxy is if we do reach singularity, and decide to copy conscience to programing and send it into space. This tech will eventually exist. Maybe, and way down the line. Space distance is beyond the contemplation of understanding. The thing we launched in 1978 is 1 light DAY from earth. The single closest star is Proxima Centauri and it is 4.25 light years away.

A computer program version of some future scientist could go into sleep mode for the duration of the flight and wake up in orbit in 71,000 years. (At voyager speed. Will likely be faster once that tech is around.)