far away in timeThe elections are still five weeks distant.
in the distant past/future (=a long time ago/a long time in the future): One day, in the distant future, I might go and live in Europe.
in the not too distant future (=fairly soon): I expect to return in the not too distant future.
a distant memory (=something you cannot remember very well because it happened a long time ago): That lovely summer on Hilton Head already felt like a distant memory.