Well all you need is a rocket ship that travels 99% the speed of light, takes about 2 years according to my rather non scientific calc.
For example, lets say we set off for a star 100 light years from Earth and our speed is 99% of the speed of light. Common sense tells us that we will reach the star in just over 100 years, but this doesnt take dilation into account. Instead, because the distance has been dilated we will reach the star in only 14.1 years. As we go ever faster the dilation becomes ever more dramatic, so that at 99.9% of the speed of light we would reach it in just 4.5 years and at 99.99% around 1.4 years.
http://www.emc2-explained.info/Time-Dilation/#.WzhGfNJKhPZ
The *time* would dilate. The distance would contract (shrink).
Well the human brain with 100 billion neurons to shape human observation and perception that we live in a vast universe with stars billions of light years away.