Can Vesuva copy a land that comes the same time into play as itself?
No. From the comprehensive rules:


  614.12a If a replacement effect that modifies how a permanent enters the battlefield requires a choice, that choice is made before the permanent enters the battlefield.


Vesuva and the other land enter the battlefield at the same time. However the choice of which land to copy must be made before Vesuva enters the battlefield, which means the other land isn't on the battlefield yet either, so it can't be chosen.