If you get really close to the speed of light (which is not really practical from a materials engineering standpoint) your time of transit is significantly shorter.
Once these (extremely hard) engineering problems are solved, a trip to the next star can be a week-long affair from your point of view, but your friends back on Earth won't see you for about a decade.
That just isn't practically doable with any technology within humanity's reach, probably for centuries. If it ever will be at all.
The amount of energy needed to propel anything at that speed is enormous.
In order to spend a leisurely "cruise-ship" week to Proxima you'd need to go very close to c. At that speed, even friction with a non-ideal vacuum is a problem :-D.
You’d need to travel at around 233x the speed of light to make getting to the nearest star be a week trip, no?
[0] about 0.99999c if what someone else in this thread said is correct
None. Photons don't experience time, they are time.
But, for all intents and purposes, this is impossibly fast ;-)
Unless you are on the Bistromath, that is.