No. If I understand correctly what you're saying is perfectly correct and really a very simple statement of time dilation under special relativity.
If you could travel really close to the speed of light you could cross the distance to the nearest star in what would seem to you to be a matter of moments but y4 years to everybody back on Earth.
If you could travel actually at the speed of light to you it would seem immediate.
One of the best examples of this is cosmic ray muons.
These are formed as cosmic rays hit our upper atmosphere. They have a half-life so short that even at the speed of light we should never detect them at the Earth's surface - but we do.
Time dilation means that time for them is much slower than for us so they survive long enough to make it to earth.
If you feel adventurous you can see them yourself with a large bottle of water and a few electronics as described here:
http://www.sas.org/E-Bulletin/2002-08-16/hands OnPhys/body.html