Not at all. But those 13 years are from the perspective of the people on the ship (also, from. Their perspective, the distance they travel is much much smaller). From the perspective of people on Earth, the ship arrives on that planet many thousands of years later.

Edit: actually, from the perspective of people on Earth, it will roughly arrive 700+1 years later.

coolworlds did a video on constant 1G acceleration travel : https://youtu.be/b_TkFhj9mgk

bottomline, you get progressively closer to speed of light and time slows for you so you can cover larger and larger distance in local frame. problem is finding this 1G drive.