I don't believe so. We might reach that planet and conclude that it will have a civilisation within the next 20,000,000 years, and leave it to itself. We just colonise all other 999,999 planets we find. So for all practical purposes, if we are first, we must also be alone. No it doesn't.
Someone has to be the first.
The second one does not get a chance to write this same essay. Since I am writing this, we can be the first. No it isn't. I don't like to prove something by stating that the reverse would be impossible, if I cannot make at the same time the statement at least probable. I have said that the evolution of life on earth is a natural phenomenon, which should happen on any of the 1,000,000 stars that are like our sun.