Nope, you are looking at the object were it was 13 bilion years ago, the light it is emmiting now will arive in more than 13 bilion years, since it is farther away than it was. And it will take above 13 bilion years for us to see its progress untill this exact moment.
Since the speed of light is a constant, a light year is a measure of both time and distance.
Since the speed of light is a constant, a light year is a measure of both time and distance.